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28306824 = 2337132997
BaseRepresentation
bin110101111111…
…0110110001000
31222021010122220
41223332312020
524221304244
62450414040
7462414120
oct153766610
958233586
1028306824
1114a84377
129591320
135b31400
143a8bc80
152742319
hex1afed88

28306824 has 96 divisors (see below), whose sum is σ = 87664320. Its totient is φ = 7458048.

The previous prime is 28306807. The next prime is 28306841. The reversal of 28306824 is 42860382.

It is an interprime number because it is at equal distance from previous prime (28306807) and next prime (28306841).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27894 + ... + 28890.

It is an arithmetic number, because the mean of its divisors is an integer number (913170).

Almost surely, 228306824 is an apocalyptic number.

28306824 is a gapful number since it is divisible by the number (24) 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 28306824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43832160).

28306824 is an abundant number, since it is smaller than the sum of its proper divisors (59357496).

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

28306824 is a wasteful number, since it uses less digits than its factorization.

28306824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 28306824 is about 5320.4157732268. The cubic root of 28306824 is about 304.7640349957.

The spelling of 28306824 in words is "twenty-eight million, three hundred six thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 169 182 273 312 338 364 507 546 676 728 997 1014 1092 1183 1352 1994 2028 2184 2366 2991 3549 3988 4056 4732 5982 6979 7098 7976 9464 11964 12961 13958 14196 20937 23928 25922 27916 28392 38883 41874 51844 55832 77766 83748 90727 103688 155532 167496 168493 181454 272181 311064 336986 362908 505479 544362 673972 725816 1010958 1088724 1179451 1347944 2021916 2177448 2358902 3538353 4043832 4717804 7076706 9435608 14153412 28306824