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28353864 = 23371167229
BaseRepresentation
bin110110000101…
…0010101001000
31222100112012010
41230022111020
524224310424
62451415520
7463001220
oct154122510
958315163
1028353864
1115006750
1295b45a0
135b49946
143aa1080
152751229
hex1b0a548

28353864 has 128 divisors (see below), whose sum is σ = 90086400. Its totient is φ = 7223040.

The previous prime is 28353863. The next prime is 28353881. The reversal of 28353864 is 46835382.

It is not an unprimeable number, because it can be changed into a prime (28353863) 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, 123702 + ... + 123930.

It is an arithmetic number, because the mean of its divisors is an integer number (703800).

Almost surely, 228353864 is an apocalyptic number.

28353864 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 28353864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45043200).

28353864 is an abundant number, since it is smaller than the sum of its proper divisors (61732536).

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

28353864 is a wasteful number, since it uses less digits than its factorization.

28353864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 319 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 28353864 is about 5324.8346453200. The cubic root of 28353864 is about 304.9327595210.

The spelling of 28353864 in words is "twenty-eight million, three hundred fifty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 67 77 84 88 132 134 154 168 201 229 231 264 268 308 402 458 462 469 536 616 687 737 804 916 924 938 1374 1407 1474 1603 1608 1832 1848 1876 2211 2519 2748 2814 2948 3206 3752 4422 4809 5038 5159 5496 5628 5896 6412 7557 8844 9618 10076 10318 11256 12824 15114 15343 15477 17633 17688 19236 20152 20636 30228 30686 30954 35266 38472 41272 46029 52899 60456 61372 61908 70532 92058 105798 107401 122744 123816 141064 168773 184116 211596 214802 322203 337546 368232 423192 429604 506319 644406 675092 859208 1012638 1181411 1288812 1350184 2025276 2362822 2577624 3544233 4050552 4725644 7088466 9451288 14176932 28353864