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28147840 = 275761103
BaseRepresentation
bin110101101100…
…0000010000000
31221222001120121
41223120002000
524201212330
62443150024
7461152450
oct153300200
957861517
1028147840
1114985986
129515314
135aa6c36
143a49d60
15271017a
hex1ad8080

28147840 has 128 divisors (see below), whose sum is σ = 78923520. Its totient is φ = 9400320.

The previous prime is 28147831. The next prime is 28147849. The reversal of 28147840 is 4874182.

It is an interprime number because it is at equal distance from previous prime (28147831) and next prime (28147849).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 28147796 and 28147805.

It is not an unprimeable number, because it can be changed into a prime (28147849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273229 + ... + 273331.

It is an arithmetic number, because the mean of its divisors is an integer number (616590).

Almost surely, 228147840 is an apocalyptic number.

28147840 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 28147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39461760).

28147840 is an abundant number, since it is smaller than the sum of its proper divisors (50775680).

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

28147840 is a wasteful number, since it uses less digits than its factorization.

28147840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 28147840 is about 5305.4537977444. The cubic root of 28147840 is about 304.1923989823.

The spelling of 28147840 in words is "twenty-eight million, one hundred forty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 61 64 70 80 103 112 122 128 140 160 206 224 244 280 305 320 412 427 448 488 515 560 610 640 721 824 854 896 976 1030 1120 1220 1442 1648 1708 1952 2060 2135 2240 2440 2884 3296 3416 3605 3904 4120 4270 4480 4880 5768 6283 6592 6832 7210 7808 8240 8540 9760 11536 12566 13184 13664 14420 16480 17080 19520 23072 25132 27328 28840 31415 32960 34160 39040 43981 46144 50264 54656 57680 62830 65920 68320 87962 92288 100528 115360 125660 136640 175924 201056 219905 230720 251320 273280 351848 402112 439810 461440 502640 703696 804224 879620 1005280 1407392 1759240 2010560 2814784 3518480 4021120 5629568 7036960 14073920 28147840