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23027928 = 23371117733
BaseRepresentation
bin101011111011…
…0000011011000
31121022221101020
41113312003120
521343343203
62141322440
7366506550
oct127660330
947287336
1023027928
1111aa9250
127866420
134a036c1
1430b6160
15204d153
hex15f60d8

23027928 has 128 divisors (see below), whose sum is σ = 76101120. Its totient is φ = 5621760.

The previous prime is 23027909. The next prime is 23027933. The reversal of 23027928 is 82972032.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 31050 + ... + 31782.

It is an arithmetic number, because the mean of its divisors is an integer number (594540).

Almost surely, 223027928 is an apocalyptic number.

23027928 is a gapful number since it is divisible by the number (28) 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 23027928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38050560).

23027928 is an abundant number, since it is smaller than the sum of its proper divisors (53073192).

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

23027928 is a wasteful number, since it uses less digits than its factorization.

23027928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 23027928 is about 4798.7423352374. The cubic root of 23027928 is about 284.5017579732.

The spelling of 23027928 in words is "twenty-three million, twenty-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 17 21 22 24 28 33 34 42 44 51 56 66 68 77 84 88 102 119 132 136 154 168 187 204 231 238 264 308 357 374 408 462 476 561 616 714 733 748 924 952 1122 1309 1428 1466 1496 1848 2199 2244 2618 2856 2932 3927 4398 4488 5131 5236 5864 7854 8063 8796 10262 10472 12461 15393 15708 16126 17592 20524 24189 24922 30786 31416 32252 37383 41048 48378 49844 56441 61572 64504 74766 87227 96756 99688 112882 123144 137071 149532 169323 174454 193512 225764 261681 274142 299064 338646 348908 411213 451528 523362 548284 677292 697816 822426 959497 1046724 1096568 1354584 1644852 1918994 2093448 2878491 3289704 3837988 5756982 7675976 11513964 23027928