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28675490976 = 25321161148387
BaseRepresentation
bin11010101101001100…
…010100010010100000
32202000102222212120100
4122231030110102200
5432211411202401
621101235142400
72033414436336
oct325514242240
982012885510
1028675490976
1111185626880
125683444a00
13291cb58552
141560587b56
15b2c6e6b86
hex6ad3144a0

28675490976 has 144 divisors (see below), whose sum is σ = 90418150368. Its totient is φ = 8547033600.

The previous prime is 28675490951. The next prime is 28675490981. The reversal of 28675490976 is 67909457682.

28675490976 is a `hidden beast` number, since 2 + 8 + 6 + 75 + 490 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119055 + ... + 267441.

It is an arithmetic number, because the mean of its divisors is an integer number (627903822).

Almost surely, 228675490976 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 28675490976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45209075184).

28675490976 is an abundant number, since it is smaller than the sum of its proper divisors (61742659392).

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

28675490976 is a wasteful number, since it uses less digits than its factorization.

28675490976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148475 (or 148464 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 28675490976 in words is "twenty-eight billion, six hundred seventy-five million, four hundred ninety thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 61 66 72 88 96 99 122 132 144 176 183 198 244 264 288 352 366 396 488 528 549 671 732 792 976 1056 1098 1342 1464 1584 1952 2013 2196 2684 2928 3168 4026 4392 5368 5856 6039 8052 8784 10736 12078 16104 17568 21472 24156 32208 48312 64416 96624 148387 193248 296774 445161 593548 890322 1187096 1335483 1632257 1780644 2374192 2670966 3264514 3561288 4748384 4896771 5341932 6529028 7122576 9051607 9793542 10683864 13058056 14245152 14690313 18103214 19587084 21367728 26116112 27154821 29380626 36206428 39174168 42735456 52232224 54309642 58761252 72412856 78348336 81464463 99567677 108619284 117522504 144825712 156696672 162928926 199135354 217238568 235045008 289651424 298703031 325857852 398270708 434477136 470090016 597406062 651715704 796541416 868954272 896109093 1194812124 1303431408 1593082832 1792218186 2389624248 2606862816 3186165664 3584436372 4779248496 7168872744 9558496992 14337745488 28675490976