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28282557420 = 223251359204857
BaseRepresentation
bin11010010101110001…
…011001001111101100
32201000001121210001200
4122111301121033230
5430410313314140
620554241205500
72020603525425
oct322561311754
981001553050
1028282557420
1110aa3847aa7
125593930890
13288961c4a0
14152430264c
15b07e7c030
hex695c593ec

28282557420 has 144 divisors (see below), whose sum is σ = 93956073120. Its totient is φ = 6843829248.

The previous prime is 28282557379. The next prime is 28282557437. The reversal of 28282557420 is 2475528282.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35632 + ... + 240488.

It is an arithmetic number, because the mean of its divisors is an integer number (652472730).

Almost surely, 228282557420 is an apocalyptic number.

28282557420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28282557420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46978036560).

28282557420 is an abundant number, since it is smaller than the sum of its proper divisors (65673515700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28282557420 is a wasteful number, since it uses less digits than its factorization.

28282557420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204944 (or 204939 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 28282557420 in words is "twenty-eight billion, two hundred eighty-two million, five hundred fifty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 59 60 65 78 90 117 118 130 156 177 180 195 234 236 260 295 354 390 468 531 585 590 708 767 780 885 1062 1170 1180 1534 1770 2124 2301 2340 2655 3068 3540 3835 4602 5310 6903 7670 9204 10620 11505 13806 15340 23010 27612 34515 46020 69030 138060 204857 409714 614571 819428 1024285 1229142 1843713 2048570 2458284 2663141 3072855 3687426 4097140 5326282 6145710 7374852 7989423 9218565 10652564 12086563 12291420 13315705 15978846 18437130 23968269 24173126 26631410 31957692 36259689 36874260 39947115 47936538 48346252 53262820 60432815 72519378 79894230 95873076 108779067 119841345 120865630 145038756 157125319 159788460 181298445 217558134 239682690 241731260 314250638 362596890 435116268 471375957 479365380 543895335 628501276 725193780 785626595 942751914 1087790670 1414127871 1571253190 1885503828 2175581340 2356879785 2828255742 3142506380 4713759570 5656511484 7070639355 9427519140 14141278710 28282557420