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28832076 = 22327132677
BaseRepresentation
bin110110111111…
…1000101001100
32000020211011200
41231333011030
524340111301
62505545500
7500032350
oct155770514
960224150
1028832076
1115302a69
1297a5290
135c86500
143b87460
1527e7c86
hex1b7f14c

28832076 has 108 divisors (see below), whose sum is σ = 90325872. Its totient is φ = 7592832.

The previous prime is 28832071. The next prime is 28832107. The reversal of 28832076 is 67023882.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct 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 28832076.

It is not an unprimeable number, because it can be changed into a prime (28832071) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42250 + ... + 42926.

Almost surely, 228832076 is an apocalyptic number.

28832076 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 28832076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45162936).

28832076 is an abundant number, since it is smaller than the sum of its proper divisors (61493796).

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

28832076 is a wasteful number, since it uses less digits than its factorization.

28832076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 28832076 is about 5369.5508192027. The cubic root of 28832076 is about 306.6375276871.

The spelling of 28832076 in words is "twenty-eight million, eight hundred thirty-two thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 169 182 234 252 273 338 364 468 507 546 676 677 819 1014 1092 1183 1354 1521 1638 2028 2031 2366 2708 3042 3276 3549 4062 4732 4739 6084 6093 7098 8124 8801 9478 10647 12186 14196 14217 17602 18956 21294 24372 26403 28434 35204 42588 42651 52806 56868 61607 79209 85302 105612 114413 123214 158418 170604 184821 228826 246428 316836 343239 369642 457652 554463 686478 739284 800891 1029717 1108926 1372956 1601782 2059434 2217852 2402673 3203564 4118868 4805346 7208019 9610692 14416038 28832076