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28916096 = 271121867
BaseRepresentation
bin110111001001…
…1100110000000
32000102002102112
41232103212000
524400303341
62511434452
7500532326
oct156234600
960362375
1028916096
1115360100
129825a28
135cb5821
143ba9d16
152812aeb
hex1b93980

28916096 has 48 divisors (see below), whose sum is σ = 63353220. Its totient is φ = 13136640.

The previous prime is 28916089. The next prime is 28916101. The reversal of 28916096 is 69061982.

It is a super-2 number, since 2×289160962 = 1672281215762432, which contains 22 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 (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14555 + ... + 16421.

Almost surely, 228916096 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 28916096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31676610).

28916096 is an abundant number, since it is smaller than the sum of its proper divisors (34437124).

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

28916096 is a wasteful number, since it uses less digits than its factorization.

28916096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 28916096 is about 5377.3688733432. The cubic root of 28916096 is about 306.9350978817.

The spelling of 28916096 in words is "twenty-eight million, nine hundred sixteen thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1867 1936 3734 3872 7468 7744 14936 15488 20537 29872 41074 59744 82148 119488 164296 225907 238976 328592 451814 657184 903628 1314368 1807256 2628736 3614512 7229024 14458048 28916096