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28272808239 = 31317732572273
BaseRepresentation
bin11010010101001100…
…001101000100101111
32200222101021110200220
4122111030031010233
5430400314330424
620553252222423
72020424622234
oct322514150457
980871243626
1028272808239
1110a99299325
12559060aa13
1328875b7b40
141522cc578b
15b071a3579
hex69530d12f

28272808239 has 64 divisors (see below), whose sum is σ = 43762529664. Its totient is φ = 16080961536.

The previous prime is 28272808211. The next prime is 28272808243. The reversal of 28272808239 is 93280827282.

It is not a de Polignac number, because 28272808239 - 29 = 28272807727 is a prime.

It is a super-2 number, since 2×282728082392 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 28272808191 and 28272808200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28272800239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12437407 + ... + 12439679.

It is an arithmetic number, because the mean of its divisors is an integer number (683789526).

Almost surely, 228272808239 is an apocalyptic number.

28272808239 is a deficient number, since it is larger than the sum of its proper divisors (15489721425).

28272808239 is a wasteful number, since it uses less digits than its factorization.

28272808239 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636.

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 28272808239 in words is "twenty-eight billion, two hundred seventy-two million, eight hundred eight thousand, two hundred thirty-nine".

Divisors: 1 3 13 17 39 51 73 219 221 257 663 771 949 1241 2273 2847 3341 3723 4369 6819 10023 13107 16133 18761 29549 38641 48399 56283 56797 88647 115923 165929 170391 243893 318937 497787 502333 584161 731679 956811 1506999 1752483 2157077 2820793 4146181 6471231 7594093 8462379 9930737 12438543 22782279 29792211 36670309 42643753 110010927 127931259 129099581 387298743 554368789 724943801 1663106367 2174831403 9424269413 28272808239