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28921764096 = 283411812
BaseRepresentation
bin11010111011110111…
…110001100100000000
32202122121101211210000
4122323313301210000
5433212432422341
621141513440000
72042464636641
oct327367614400
982577354700
1028921764096
11112a1644485
125731a10000
13295bb947a4
1415851736c8
15b441418b6
hex6bbdf1900

28921764096 has 135 divisors (see below), whose sum is σ = 86312551633. Its totient is φ = 9632424960.

The previous prime is 28921764089. The next prime is 28921764143. The reversal of 28921764096 is 69046712982.

The square root of 28921764096 is 170064.

It is a perfect power (a square), and thus also a powerful number.

28921764096 is a `hidden beast` number, since 289 + 217 + 64 + 0 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26524682496 + 2397081600 = 162864^2 + 48960^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 24488626 + ... + 24489806.

Almost surely, 228921764096 is an apocalyptic number.

28921764096 is the 170064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28921764096

28921764096 is an abundant number, since it is smaller than the sum of its proper divisors (57390787537).

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

28921764096 is an frugal number, since it uses more digits than its factorization.

28921764096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 28921764096 in words is "twenty-eight billion, nine hundred twenty-one million, seven hundred sixty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1181 1296 1728 2304 2362 2592 3456 3543 4724 5184 6912 7086 9448 10368 10629 14172 18896 20736 21258 28344 31887 37792 42516 56688 63774 75584 85032 95661 113376 127548 151168 170064 191322 226752 255096 302336 340128 382644 453504 510192 680256 765288 907008 1020384 1360512 1394761 1530576 2040768 2721024 2789522 3061152 4081536 4184283 5579044 6122304 8163072 8368566 11158088 12244608 12552849 16737132 22316176 24489216 25105698 33474264 37658547 44632352 50211396 66948528 75317094 89264704 100422792 112975641 133897056 150634188 178529408 200845584 225951282 267794112 301268376 357058816 401691168 451902564 535588224 602536752 803382336 903805128 1071176448 1205073504 1606764672 1807610256 2410147008 3213529344 3615220512 4820294016 7230441024 9640588032 14460882048 28921764096