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128852928 = 26321713159
BaseRepresentation
bin1111010111000…
…10001111000000
322222110101222200
413223202033000
5230441243203
620441433200
73123142341
oct753421700
9288411880
10128852928
1166809126
123719b800
1320906649
14131820c8
15b4a39a3
hex7ae23c0

128852928 has 84 divisors (see below), whose sum is σ = 391088880. Its totient is φ = 40421376.

The previous prime is 128852891. The next prime is 128852939. The reversal of 128852928 is 829258821.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 3213 + ... + 16371.

It is an arithmetic number, because the mean of its divisors is an integer number (4655820).

Almost surely, 2128852928 is an apocalyptic number.

128852928 is a gapful number since it is divisible by the number (18) 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 128852928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195544440).

128852928 is an abundant number, since it is smaller than the sum of its proper divisors (262235952).

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

128852928 is a wasteful number, since it uses less digits than its factorization.

128852928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13194 (or 13181 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 128852928 is about 11351.3403613846. The cubic root of 128852928 is about 505.0853406079.

The spelling of 128852928 in words is "one hundred twenty-eight million, eight hundred fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 13159 26318 39477 52636 78954 105272 118431 157908 210544 223703 236862 315816 421088 447406 473724 631632 671109 842176 894812 947448 1263264 1342218 1789624 1894896 2013327 2526528 2684436 3579248 3789792 4026654 5368872 7158496 7579584 8053308 10737744 14316992 16106616 21475488 32213232 42950976 64426464 128852928