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28614264 = 23371743233
BaseRepresentation
bin110110100100…
…1111001111000
31222211202101120
41231021321320
524311124024
62501145240
7465134340
oct155117170
958752346
1028614264
1115174358
1296bb220
135c0b323
143b2bd20
1527a3479
hex1b49e78

28614264 has 128 divisors (see below), whose sum is σ = 88957440. Its totient is φ = 7483392.

The previous prime is 28614263. The next prime is 28614317. The reversal of 28614264 is 46241682.

It is a super-2 number, since 2×286142642 = 1637552208523392, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28614263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122692 + ... + 122924.

It is an arithmetic number, because the mean of its divisors is an integer number (694980).

Almost surely, 228614264 is an apocalyptic number.

28614264 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 28614264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44478720).

28614264 is an abundant number, since it is smaller than the sum of its proper divisors (60343176).

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

28614264 is a wasteful number, since it uses less digits than its factorization.

28614264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 305 counting only the distinct ones).

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

The square root of 28614264 is about 5349.2302249950. The cubic root of 28614264 is about 305.8634103538.

The spelling of 28614264 in words is "twenty-eight million, six hundred fourteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 43 51 56 68 84 86 102 119 129 136 168 172 204 233 238 258 301 344 357 408 466 476 516 602 699 714 731 903 932 952 1032 1204 1398 1428 1462 1631 1806 1864 2193 2408 2796 2856 2924 3262 3612 3961 4386 4893 5117 5592 5848 6524 7224 7922 8772 9786 10019 10234 11883 13048 15351 15844 17544 19572 20038 20468 23766 27727 30057 30702 31688 39144 40076 40936 47532 55454 60114 61404 70133 80152 83181 95064 110908 120228 122808 140266 166362 170323 210399 221816 240456 280532 332724 340646 420798 510969 561064 665448 681292 841596 1021938 1192261 1362584 1683192 2043876 2384522 3576783 4087752 4769044 7153566 9538088 14307132 28614264