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28137149280 = 253356513229
BaseRepresentation
bin11010001101000110…
…101101001101100000
32200121221000021121000
4122031012231031200
5430111102234110
620532004432000
72014156552122
oct321506551540
980557007530
1028137149280
1110a29761789
1255530a8600
13286546a676
14150cc91212
15aea3081c0
hex68d1ad360

28137149280 has 96 divisors (see below), whose sum is σ = 98480037600. Its totient is φ = 7503238656.

The previous prime is 28137149263. The next prime is 28137149309. The reversal of 28137149280 is 8294173182.

It is a happy number.

28137149280 is a `hidden beast` number, since 2 + 8 + 13 + 71 + 492 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3252295 + ... + 3260934.

It is an arithmetic number, because the mean of its divisors is an integer number (1025833725).

Almost surely, 228137149280 is an apocalyptic number.

28137149280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28137149280 is an abundant number, since it is smaller than the sum of its proper divisors (70342888320).

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

28137149280 is a wasteful number, since it uses less digits than its factorization.

28137149280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6513253 (or 6513239 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 28137149280 in words is "twenty-eight billion, one hundred thirty-seven million, one hundred forty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 6513229 13026458 19539687 26052916 32566145 39079374 52105832 58619061 65132290 78158748 97698435 104211664 117238122 130264580 156317496 175857183 195396870 208423328 234476244 260529160 293095305 312634992 351714366 390793740 468952488 521058320 586190610 625269984 703428732 781587480 879285915 937904976 1042116640 1172381220 1406857464 1563174960 1758571830 1875809952 2344762440 2813714928 3126349920 3517143660 4689524880 5627429856 7034287320 9379049760 14068574640 28137149280