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28290151792 = 2471717598447
BaseRepresentation
bin11010010110001110…
…010111010101110000
32201000120220121120201
4122112032113111300
5430414234324132
620555112044544
72021025215440
oct322616272560
981016817521
1028290151792
1110aa8064841
125596393754
13288b07b0b6
14152531c120
15b0897c2e7
hex696397570

28290151792 has 80 divisors (see below), whose sum is σ = 66372894720. Its totient is φ = 11403316224.

The previous prime is 28290151787. The next prime is 28290151811. The reversal of 28290151792 is 29715109282.

It is a super-2 number, since 2×282901517922 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3344913 + ... + 3353359.

It is an arithmetic number, because the mean of its divisors is an integer number (829661184).

Almost surely, 228290151792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28290151792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33186447360).

28290151792 is an abundant number, since it is smaller than the sum of its proper divisors (38082742928).

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

28290151792 is a wasteful number, since it uses less digits than its factorization.

28290151792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10238 (or 10232 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 46.

The spelling of 28290151792 in words is "twenty-eight billion, two hundred ninety million, one hundred fifty-one thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1759 1904 3518 7036 8447 12313 14072 16894 24626 28144 29903 33788 49252 59129 59806 67576 98504 118258 119612 135152 143599 197008 209321 236516 239224 287198 418642 473032 478448 574396 837284 946064 1005193 1148792 1674568 2010386 2297584 3349136 4020772 8041544 14858273 16083088 29716546 59433092 104007911 118866184 208015822 237732368 252590641 416031644 505181282 832063288 1010362564 1664126576 1768134487 2020725128 3536268974 4041450256 7072537948 14145075896 28290151792