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28600968 = 23311131827
BaseRepresentation
bin110110100011…
…0101010001000
31222211002011010
41231012222020
524310212333
62501003520
7465050514
oct155065210
958732133
1028600968
1115165370
1296b35a0
135c05266
143b27144
15279e563
hex1b46a88

28600968 has 64 divisors (see below), whose sum is σ = 78693120. Its totient is φ = 8590400.

The previous prime is 28600967. The next prime is 28600981. The reversal of 28600968 is 86900682.

It is not an unprimeable number, because it can be changed into a prime (28600967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34171 + ... + 34997.

It is an arithmetic number, because the mean of its divisors is an integer number (1229580).

Almost surely, 228600968 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 28600968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39346560).

28600968 is an abundant number, since it is smaller than the sum of its proper divisors (50092152).

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

28600968 is a wasteful number, since it uses less digits than its factorization.

28600968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 28600968 is about 5347.9872849512. The cubic root of 28600968 is about 305.8160285077.

The spelling of 28600968 in words is "twenty-eight million, six hundred thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 131 132 262 264 393 524 786 827 1048 1441 1572 1654 2481 2882 3144 3308 4323 4962 5764 6616 8646 9097 9924 11528 17292 18194 19848 27291 34584 36388 54582 72776 108337 109164 216674 218328 325011 433348 650022 866696 1191707 1300044 2383414 2600088 3575121 4766828 7150242 9533656 14300484 28600968