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28768512 = 28347797
BaseRepresentation
bin110110110111…
…1100100000000
32000010120222110
41231233210000
524331043022
62504335320
7466346133
oct155574400
960116873
1028768512
111526a233
129774540
135c635b6
143b6c21a
1527d400c
hex1b6f900

28768512 has 72 divisors (see below), whose sum is σ = 78293376. Its totient is φ = 9373696.

The previous prime is 28768507. The next prime is 28768513. The reversal of 28768512 is 21586782.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (28768513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35698 + ... + 36494.

It is an arithmetic number, because the mean of its divisors is an integer number (1087408).

Almost surely, 228768512 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 28768512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39146688).

28768512 is an abundant number, since it is smaller than the sum of its proper divisors (49524864).

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

28768512 is an equidigital number, since it uses as much as digits as its factorization.

28768512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 849 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 28768512 is about 5363.6286224906. The cubic root of 28768512 is about 306.4120213341.

The spelling of 28768512 in words is "twenty-eight million, seven hundred sixty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 564 752 768 797 1128 1504 1594 2256 2391 3008 3188 4512 4782 6016 6376 9024 9564 12032 12752 18048 19128 25504 36096 37459 38256 51008 74918 76512 102016 112377 149836 153024 204032 224754 299672 306048 449508 599344 612096 899016 1198688 1798032 2397376 3596064 4794752 7192128 9589504 14384256 28768512