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28864704 = 2631179173
BaseRepresentation
bin110111000011…
…1000011000000
32000022110221010
41232013003000
524342132304
62510400520
7500226441
oct156070300
960273833
1028864704
1115325530
129800140
135c9830b
143b952c8
152802789
hex1b870c0

28864704 has 112 divisors (see below), whose sum is σ = 84856320. Its totient is φ = 8586240.

The previous prime is 28864673. The next prime is 28864723. The reversal of 28864704 is 40746882.

It is a super-2 number, since 2×288647042 = 1666342274015232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166762 + ... + 166934.

Almost surely, 228864704 is an apocalyptic number.

28864704 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 28864704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42428160).

28864704 is an abundant number, since it is smaller than the sum of its proper divisors (55991616).

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

28864704 is a wasteful number, since it uses less digits than its factorization.

28864704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 28864704 is about 5372.5882030917. The cubic root of 28864704 is about 306.7531535103.

The spelling of 28864704 in words is "twenty-eight million, eight hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 79 88 96 132 158 173 176 192 237 264 316 346 352 474 519 528 632 692 704 869 948 1038 1056 1264 1384 1738 1896 1903 2076 2112 2528 2607 2768 3476 3792 3806 4152 5056 5214 5536 5709 6952 7584 7612 8304 10428 11072 11418 13667 13904 15168 15224 16608 20856 22836 27334 27808 30448 33216 41001 41712 45672 54668 55616 60896 82002 83424 91344 109336 121792 150337 164004 166848 182688 218672 300674 328008 365376 437344 451011 601348 656016 874688 902022 1202696 1312032 1804044 2405392 2624064 3608088 4810784 7216176 9621568 14432352 28864704