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28961512290 = 23251761310313
BaseRepresentation
bin11010111110001111…
…011001101101100010
32202202101012021001100
4122332033121231202
5433303121343130
621145453415230
72043456535614
oct327617315542
982671167040
1028961512290
1111312022927
12574319a516
1329671a0829
14158a55cdb4
15b47893c60
hex6be3d9b62

28961512290 has 96 divisors (see below), whose sum is σ = 81036639216. Its totient is φ = 7149588480.

The previous prime is 28961512271. The next prime is 28961512291. The reversal of 28961512290 is 9221516982.

It is a happy number.

28961512290 is a `hidden beast` number, since 2 + 8 + 9 + 615 + 1 + 2 + 29 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18844974729 + 10116537561 = 137277^2 + 100581^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (28961512291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61827 + ... + 248486.

Almost surely, 228961512290 is an apocalyptic number.

28961512290 is an abundant number, since it is smaller than the sum of its proper divisors (52075126926).

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

28961512290 is a wasteful number, since it uses less digits than its factorization.

28961512290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310404 (or 310401 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 28961512290 in words is "twenty-eight billion, nine hundred sixty-one million, five hundred twelve thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 61 85 90 102 122 153 170 183 255 305 306 366 510 549 610 765 915 1037 1098 1530 1830 2074 2745 3111 5185 5490 6222 9333 10370 15555 18666 31110 46665 93330 310313 620626 930939 1551565 1861878 2792817 3103130 4654695 5275321 5585634 9309390 10550642 13964085 15825963 18929093 26376605 27928170 31651926 37858186 47477889 52753210 56787279 79129815 94645465 94955778 113574558 158259630 170361837 189290930 237389445 283936395 321794581 340723674 474778890 567872790 643589162 851809185 965383743 1608972905 1703618370 1930767486 2896151229 3217945810 4826918715 5792302458 9653837430 14480756145 28961512290