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28724410125 = 32533121632
BaseRepresentation
bin11010110000000110…
…111011011100001101
32202010212001020000200
4122300012323130031
5432311422111000
621110143444113
72034550312635
oct326006733415
982125036020
1028724410125
11112001a9524
1256978b6639
13292a0259a8
141566c7d6c5
15b31b5b500
hex6b01bb70d

28724410125 has 108 divisors (see below), whose sum is σ = 53835022332. Its totient is φ = 14734548000.

The previous prime is 28724410123. The next prime is 28724410163. The reversal of 28724410125 is 52101442782.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

28724410125 is a `hidden beast` number, since 28 + 72 + 441 + 0 + 125 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 919181124 + 27805229001 = 30318^2 + 166749^2 .

It is not a de Polignac number, because 28724410125 - 21 = 28724410123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 28724410125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28724410123) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 176223294 + ... + 176223456.

It is an arithmetic number, because the mean of its divisors is an integer number (498472429).

Almost surely, 228724410125 is an apocalyptic number.

28724410125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

28724410125 is a deficient number, since it is larger than the sum of its proper divisors (25110612207).

28724410125 is an equidigital number, since it uses as much as digits as its factorization.

28724410125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 28724410125 in words is "twenty-eight billion, seven hundred twenty-four million, four hundred ten thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 125 155 163 225 279 375 465 489 775 815 961 1125 1395 1467 2325 2445 2883 3875 4075 4805 5053 6975 7335 8649 11625 12225 14415 15159 20375 24025 25265 26569 34875 36675 43245 45477 61125 72075 75795 79707 120125 126325 132845 156643 183375 216225 227385 239121 360375 378975 398535 469929 631625 664225 783215 823639 1081125 1136925 1195605 1409787 1894875 1992675 2349645 2470917 3321125 3916075 4118195 5684625 5978025 7048935 7412751 9963375 11748225 12354585 19580375 20590975 25532809 29890125 35244675 37063755 58741125 61772925 76598427 102954875 127664045 176223375 185318775 229795281 308864625 382992135 638320225 926593875 1148976405 1914960675 3191601125 5744882025 9574803375 28724410125