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28704830625 = 36542512
BaseRepresentation
bin11010101110111100…
…001111010010100001
32202002111012111000000
4122232330033102201
5432241414040000
621104204050213
72034222014562
oct325674172241
982074174000
1028704830625
11111a0146119
125691233969
132925c5baa3
141564424169
15b30090000
hex6aef0f4a1

28704830625 has 105 divisors (see below), whose sum is σ = 53994848149. Its totient is φ = 15248250000.

The previous prime is 28704830617. The next prime is 28704830641. The reversal of 28704830625 is 52603840782.

The square root of 28704830625 is 169425.

It is a perfect power (a square), and thus also a powerful number.

28704830625 is a `hidden beast` number, since 287 + 0 + 48 + 306 + 25 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2250458721 + 26454371904 = 47439^2 + 162648^2 .

It is not a de Polignac number, because 28704830625 - 23 = 28704830617 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 114361750 + ... + 114362000.

Almost surely, 228704830625 is an apocalyptic number.

28704830625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

28704830625 is the 169425-th square number.

28704830625 is the 84713-rd centered octagonal number.

It is an amenable number.

28704830625 is a deficient number, since it is larger than the sum of its proper divisors (25290017524).

28704830625 is an frugal number, since it uses more digits than its factorization.

28704830625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

It can be divided in two parts, 28704 and 830625, that added together give a square (859329 = 9272).

The spelling of 28704830625 in words is "twenty-eight billion, seven hundred four million, eight hundred thirty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 243 251 375 405 625 675 729 753 1125 1215 1255 1875 2025 2259 3375 3645 3765 5625 6075 6275 6777 10125 11295 16875 18225 18825 20331 30375 31375 33885 50625 56475 60993 63001 91125 94125 101655 151875 156875 169425 182979 189003 282375 304965 315005 455625 470625 508275 567009 847125 914895 945015 1411875 1524825 1575025 1701027 2541375 2835045 4235625 4574475 4725075 5103081 7624125 7875125 8505135 12706875 14175225 15309243 22872375 23625375 25515405 38120625 39375625 42525675 45927729 70876125 76546215 114361875 118126875 127577025 212628375 229638645 354380625 382731075 637885125 1063141875 1148193225 1913655375 3189425625 5740966125 9568276875 28704830625