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28612864 = 28722281
BaseRepresentation
bin110110100100…
…1100100000000
31222211200110201
41231021210000
524311102424
62501134544
7465130300
oct155114400
958750421
1028612864
11151732a5
1296ba454
135c0a7b7
143b2b600
1527a2d44
hex1b49900

28612864 has 54 divisors (see below), whose sum is σ = 66467814. Its totient is φ = 12257280.

The previous prime is 28612849. The next prime is 28612967. The reversal of 28612864 is 46821682.

It can be written as a sum of positive squares in only one way, i.e., 25401600 + 3211264 = 5040^2 + 1792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11404 + ... + 13684.

Almost surely, 228612864 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 28612864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33233907).

28612864 is an abundant number, since it is smaller than the sum of its proper divisors (37854950).

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

28612864 is an equidigital number, since it uses as much as digits as its factorization.

28612864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2290 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 28612864 is about 5349.0993634443. The cubic root of 28612864 is about 305.8584219821.

The spelling of 28612864 in words is "twenty-eight million, six hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 2281 3136 4562 6272 9124 12544 15967 18248 31934 36496 63868 72992 111769 127736 145984 223538 255472 291968 447076 510944 583936 894152 1021888 1788304 2043776 3576608 4087552 7153216 14306432 28612864