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28465956 = 223217193241
BaseRepresentation
bin110110010010…
…1101100100100
31222120012221200
41230211230210
524241402311
62454042500
7463646061
oct154455444
958505850
1028465956
1115082992
129649430
135b8897c
143acdc68
152774556
hex1b25b24

28465956 has 72 divisors (see below), whose sum is σ = 76900824. Its totient is φ = 8847360.

The previous prime is 28465937. The next prime is 28465963. The reversal of 28465956 is 65956482.

It can be written as a sum of positive squares in 4 ways, for example, as 7452900 + 21013056 = 2730^2 + 4584^2 .

It is an unprimeable number.

It is a nontrivial repunit in base 305.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117996 + ... + 118236.

It is an arithmetic number, because the mean of its divisors is an integer number (1068067).

Almost surely, 228465956 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 28465956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38450412).

28465956 is an abundant number, since it is smaller than the sum of its proper divisors (48434868).

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

28465956 is a wasteful number, since it uses less digits than its factorization.

28465956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 456 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 28465956 is about 5335.3496605190. The cubic root of 28465956 is about 305.3340637821.

The spelling of 28465956 in words is "twenty-eight million, four hundred sixty-five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 193 204 241 306 386 482 579 612 723 772 964 1158 1446 1737 2169 2316 2892 3281 3474 4097 4338 6562 6948 8194 8676 9843 12291 13124 16388 19686 24582 29529 36873 39372 46513 49164 59058 73746 93026 118116 139539 147492 186052 279078 418617 558156 790721 837234 1581442 1674468 2372163 3162884 4744326 7116489 9488652 14232978 28465956