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28239711864 = 23371373177127
BaseRepresentation
bin11010010011001101…
…111100111001111000
32200220002000000000020
4122103031330321320
5430313331234424
620550111010440
72016543406320
oct322315747170
980802000006
1028239711864
1110a81643551
125581509a20
13288079a6a0
14151c74c280
15b04317079
hex69337ce78

28239711864 has 128 divisors (see below), whose sum is σ = 88082211840. Its totient is φ = 7345769472.

The previous prime is 28239711833. The next prime is 28239711869. The reversal of 28239711864 is 46811793282.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28239711869) 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, 70869 + ... + 247995.

It is an arithmetic number, because the mean of its divisors is an integer number (688142280).

Almost surely, 228239711864 is an apocalyptic number.

28239711864 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 28239711864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44041105920).

28239711864 is an abundant number, since it is smaller than the sum of its proper divisors (59842499976).

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

28239711864 is a wasteful number, since it uses less digits than its factorization.

28239711864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177229 (or 177225 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The spelling of 28239711864 in words is "twenty-eight billion, two hundred thirty-nine million, seven hundred eleven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 73 78 84 91 104 146 156 168 182 219 273 292 312 364 438 511 546 584 728 876 949 1022 1092 1533 1752 1898 2044 2184 2847 3066 3796 4088 5694 6132 6643 7592 11388 12264 13286 19929 22776 26572 39858 53144 79716 159432 177127 354254 531381 708508 1062762 1239889 1417016 2125524 2302651 2479778 3719667 4251048 4605302 4959556 6907953 7439334 9210604 9919112 12930271 13815906 14878668 16118557 18421208 25860542 27631812 29757336 32237114 38790813 48355671 51721084 55263624 64474228 77581626 90511897 96711342 103442168 128948456 155163252 168093523 181023794 193422684 271535691 310326504 336187046 362047588 386845368 504280569 543071382 672374092 724095176 1008561138 1086142764 1176654661 1344748184 2017122276 2172285528 2353309322 3529963983 4034244552 4706618644 7059927966 9413237288 14119855932 28239711864