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28684503225 = 32527216132
BaseRepresentation
bin11010101101101110…
…101100100010111001
32202001001221202001100
4122231232230202321
5432221213100400
621102200242013
72033554153200
oct325556544271
982031852040
1028684503225
111118a721914
125686470309
132921992641
141561852237
15b2d3c7100
hex6adbac8b9

28684503225 has 81 divisors (see below), whose sum is σ = 59802310893. Its totient is φ = 13104786240.

The previous prime is 28684503203. The next prime is 28684503241. The reversal of 28684503225 is 52230548682.

The square root of 28684503225 is 169365.

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

28684503225 is a `hidden beast` number, since 286 + 8 + 45 + 0 + 322 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7112889 + 28677390336 = 2667^2 + 169344^2 .

It is not a de Polignac number, because 28684503225 - 215 = 28684470457 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 17782519 + ... + 17784131.

Almost surely, 228684503225 is an apocalyptic number.

28684503225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

28684503225 is the 169365-th square number.

28684503225 is the 84683-rd centered octagonal number.

It is an amenable number.

28684503225 is an abundant number, since it is smaller than the sum of its proper divisors (31117807668).

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

28684503225 is an equidigital number, since it uses as much as digits as its factorization.

28684503225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3256 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 28684503225 in words is "twenty-eight billion, six hundred eighty-four million, five hundred three thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 1613 2205 3675 4839 8065 11025 11291 14517 24195 33873 40325 56455 72585 79037 101619 120975 169365 237111 282275 362925 395185 508095 711333 846825 1185555 1975925 2540475 2601769 3556665 5927775 7805307 13008845 17783325 18212383 23415921 39026535 54637149 65044225 91061915 117079605 127486681 163911447 195132675 273185745 382460043 455309575 585398025 637433405 819557235 1147380129 1365928725 1912300215 3187167025 4097786175 5736900645 9561501075 28684503225