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28528814592 = 293222327763
BaseRepresentation
bin11010100100011100…
…110010101000000000
32201122012222221101200
4122210130302220000
5431411334031332
621034515301200
72026653631365
oct324434625000
981565887350
1028528814592
111110a854723
1256422aa800
1328c86513a5
141548cc646c
15b1e8c217c
hex6a4732a00

28528814592 has 120 divisors (see below), whose sum is σ = 82708289664. Its totient is φ = 9466619904.

The previous prime is 28528814581. The next prime is 28528814623. The reversal of 28528814592 is 29541882582.

28528814592 is a `hidden beast` number, since 28 + 5 + 28 + 8 + 1 + 4 + 592 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1013703 + ... + 1041465.

Almost surely, 228528814592 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 28528814592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41354144832).

28528814592 is an abundant number, since it is smaller than the sum of its proper divisors (54179475072).

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

28528814592 is a wasteful number, since it uses less digits than its factorization.

28528814592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28010 (or 27991 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 54.

The spelling of 28528814592 in words is "twenty-eight billion, five hundred twenty-eight million, eight hundred fourteen thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 223 256 288 384 446 512 576 669 768 892 1152 1338 1536 1784 2007 2304 2676 3568 4014 4608 5352 7136 8028 10704 14272 16056 21408 27763 28544 32112 42816 55526 57088 64224 83289 85632 111052 114176 128448 166578 171264 222104 249867 256896 333156 342528 444208 499734 513792 666312 888416 999468 1027584 1332624 1776832 1998936 2665248 3553664 3997872 5330496 6191149 7107328 7995744 10660992 12382298 14214656 15991488 18573447 21321984 24764596 31982976 37146894 42643968 49529192 55720341 63965952 74293788 99058384 111440682 127931904 148587576 198116768 222881364 297175152 396233536 445762728 594350304 792467072 891525456 1188700608 1584934144 1783050912 2377401216 3169868288 3566101824 4754802432 7132203648 9509604864 14264407296 28528814592