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28057728 = 273312357
BaseRepresentation
bin110101100001…
…0000010000000
31221210110222010
41223002002000
524140321403
62441212520
7460325646
oct153020200
957713863
1028057728
1114924206
129491140
135a74c0a
143a25196
1526e3603
hex1ac2080

28057728 has 64 divisors (see below), whose sum is σ = 76965120. Its totient is φ = 9047040.

The previous prime is 28057721. The next prime is 28057739. The reversal of 28057728 is 82775082.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×280577282 = 1574472201043968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28057721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10726 + ... + 13082.

It is an arithmetic number, because the mean of its divisors is an integer number (1202580).

Almost surely, 228057728 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 28057728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38482560).

28057728 is an abundant number, since it is smaller than the sum of its proper divisors (48907392).

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

28057728 is a wasteful number, since it uses less digits than its factorization.

28057728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 28057728 is about 5296.9545967471. The cubic root of 28057728 is about 303.8674398968.

The spelling of 28057728 in words is "twenty-eight million, fifty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2357 2976 3968 4714 5952 7071 9428 11904 14142 18856 28284 37712 56568 73067 75424 113136 146134 150848 219201 226272 292268 301696 438402 452544 584536 876804 905088 1169072 1753608 2338144 3507216 4676288 7014432 9352576 14028864 28057728