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28522656 = 2532971021
BaseRepresentation
bin110110011001…
…1100010100000
31222200002201200
41230303202200
524300211111
62455201200
7464303301
oct154634240
958602650
1028522656
1115111548
129676200
135ba8716
143b067a8
152786256
hex1b338a0

28522656 has 72 divisors (see below), whose sum is σ = 82027764. Its totient is φ = 9400320.

The previous prime is 28522649. The next prime is 28522673. The reversal of 28522656 is 65622582.

It can be written as a sum of positive squares in 2 ways, for example, as 28515600 + 7056 = 5340^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 28522656.

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 11 ways as a sum of consecutive naturals, for example, 27426 + ... + 28446.

Almost surely, 228522656 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 28522656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41013882).

28522656 is an abundant number, since it is smaller than the sum of its proper divisors (53505108).

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

28522656 is a wasteful number, since it uses less digits than its factorization.

28522656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1123 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 28522656 is about 5340.6606332925. The cubic root of 28522656 is about 305.5366561876.

The spelling of 28522656 in words is "twenty-eight million, five hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 144 194 288 291 388 582 776 873 1021 1164 1552 1746 2042 2328 3063 3104 3492 4084 4656 6126 6984 8168 9189 9312 12252 13968 16336 18378 24504 27936 32672 36756 49008 73512 98016 99037 147024 198074 294048 297111 396148 594222 792296 891333 1188444 1584592 1782666 2376888 3169184 3565332 4753776 7130664 9507552 14261328 28522656