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28268656 = 24131923311
BaseRepresentation
bin110101111010…
…1100001110000
31222012012022021
41223311201300
524214044111
62445521224
7462164623
oct153654160
958165267
1028268656
1114a58729
129573214
135b19c20
143a7bdba
152735d71
hex1af5870

28268656 has 80 divisors (see below), whose sum is σ = 64995840. Its totient is φ = 11784960.

The previous prime is 28268623. The next prime is 28268677. The reversal of 28268656 is 65686282.

It is a super-3 number, since 3×282686563 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90741 + ... + 91051.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 228268656 is an apocalyptic number.

28268656 is a gapful number since it is divisible by the number (26) 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 28268656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32497920).

28268656 is an abundant number, since it is smaller than the sum of its proper divisors (36727184).

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

28268656 is a wasteful number, since it uses less digits than its factorization.

28268656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 368 counting only the distinct ones).

The product of its digits is 276480, while the sum is 43.

The square root of 28268656 is about 5316.8276255677. The cubic root of 28268656 is about 304.6269954160.

The spelling of 28268656 in words is "twenty-eight million, two hundred sixty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 19 23 26 38 46 52 76 92 104 152 184 208 247 299 304 311 368 437 494 598 622 874 988 1196 1244 1748 1976 2392 2488 3496 3952 4043 4784 4976 5681 5909 6992 7153 8086 11362 11818 14306 16172 22724 23636 28612 32344 45448 47272 57224 64688 76817 90896 92989 94544 114448 135907 153634 185978 271814 307268 371956 543628 614536 743912 1087256 1229072 1487824 1766791 2174512 3533582 7067164 14134328 28268656