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28636704 = 2532175849
BaseRepresentation
bin110110100111…
…1011000100000
31222212220011200
41231033120200
524312333304
62501441200
7465256635
oct155173040
958786150
1028636704
111518a1a8
129710200
135c185c5
143b3618c
1527a9e39
hex1b4f620

28636704 has 72 divisors (see below), whose sum is σ = 86240700. Its totient is φ = 8982528.

The previous prime is 28636703. The next prime is 28636733. The reversal of 28636704 is 40763682.

It can be written as a sum of positive squares in 2 ways, for example, as 28515600 + 121104 = 5340^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28636703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1972 + ... + 7820.

Almost surely, 228636704 is an apocalyptic number.

28636704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28636704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43120350).

28636704 is an abundant number, since it is smaller than the sum of its proper divisors (57603996).

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

28636704 is a wasteful number, since it uses less digits than its factorization.

28636704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882 (or 5871 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 28636704 is about 5351.3273119853. The cubic root of 28636704 is about 305.9433446308.

The spelling of 28636704 in words is "twenty-eight million, six hundred thirty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 5849 11698 17547 23396 35094 46792 52641 70188 93584 99433 105282 140376 187168 198866 210564 280752 298299 397732 421128 561504 596598 795464 842256 894897 1193196 1590928 1684512 1789794 2386392 3181856 3579588 4772784 7159176 9545568 14318352 28636704