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28014390625 = 561321032
BaseRepresentation
bin11010000101110010…
…011010110101100001
32200022101000111101011
4122011302122311201
5424333141000000
620511501340521
72011136251144
oct320562326541
980271014334
1028014390625
1110976436351
125519b67741
132845bb8c00
1414da85805b
15ade65a2ba
hex685c9ad61

28014390625 has 63 divisors (see below), whose sum is σ = 38290115349. Its totient is φ = 20486700000.

The previous prime is 28014390623. The next prime is 28014390637. The reversal of 28014390625 is 52609341082.

The square root of 28014390625 is 167375.

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

It can be written as a sum of positive squares in 10 ways, for example, as 13142100321 + 14872290304 = 114639^2 + 121952^2 .

It is not a de Polignac number, because 28014390625 - 21 = 28014390623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28014390623) 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 62 ways as a sum of consecutive naturals, for example, 271984324 + ... + 271984426.

Almost surely, 228014390625 is an apocalyptic number.

28014390625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

28014390625 is the 167375-th square number.

28014390625 is the 83688-th centered octagonal number.

It is an amenable number.

28014390625 is a deficient number, since it is larger than the sum of its proper divisors (10275724724).

28014390625 is an frugal number, since it uses more digits than its factorization.

28014390625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 28014390625 in words is "twenty-eight billion, fourteen million, three hundred ninety thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 103 125 169 325 515 625 845 1339 1625 2575 3125 4225 6695 8125 10609 12875 15625 17407 21125 33475 40625 53045 64375 87035 105625 137917 167375 203125 265225 321875 435175 528125 689585 836875 1326125 1609375 1792921 2175875 2640625 3447925 4184375 6630625 8964605 10879375 17239625 20921875 33153125 44823025 54396875 86198125 165765625 224115125 271984375 430990625 1120575625 2154953125 5602878125 28014390625