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28379028960 = 2532519707659
BaseRepresentation
bin11010011011100001…
…011001110111100000
32201020210011001010200
4122123201121313200
5431110012411320
621012005025200
72023154523522
oct323341316740
981223131120
1028379028960
1111043249547
1256000b5200
1328a35c8c39
141533055a12
15b11686290
hex69b859de0

28379028960 has 72 divisors (see below), whose sum is σ = 96843441240. Its totient is φ = 7567740672.

The previous prime is 28379028893. The next prime is 28379028983. The reversal of 28379028960 is 6982097382.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 28379028897 and 28379028906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9852390 + ... + 9855269.

It is an arithmetic number, because the mean of its divisors is an integer number (1345047795).

Almost surely, 228379028960 is an apocalyptic number.

28379028960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28379028960 is an abundant number, since it is smaller than the sum of its proper divisors (68464412280).

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

28379028960 is a wasteful number, since it uses less digits than its factorization.

28379028960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19707680 (or 19707669 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 28379028960 in words is "twenty-eight billion, three hundred seventy-nine million, twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 19707659 39415318 59122977 78830636 98538295 118245954 157661272 177368931 197076590 236491908 295614885 315322544 354737862 394153180 472983816 591229770 630645088 709475724 788306360 886844655 945967632 1182459540 1418951448 1576612720 1773689310 1891935264 2364919080 2837902896 3153225440 3547378620 4729838160 5675805792 7094757240 9459676320 14189514480 28379028960