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28423262464 = 284122572
BaseRepresentation
bin11010011110001010…
…001001000100000000
32201100212101100002121
4122132022021010000
5431202323344324
621020225054024
72024232513262
oct323612110400
981325340077
1028423262464
1111066210863
125612a87314
1328ac8156cc
141538c8bb32
15b154c25e4
hex69e289100

28423262464 has 81 divisors (see below), whose sum is σ = 58380197071. Its totient is φ = 13811056640.

The previous prime is 28423262431. The next prime is 28423262467. The reversal of 28423262464 is 46426232482.

The square root of 28423262464 is 168592.

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

It can be written as a sum of positive squares in 4 ways, for example, as 263737600 + 28159524864 = 16240^2 + 167808^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 28423262464.

It is not an unprimeable number, because it can be changed into a prime (28423262467) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 110596224 + ... + 110596480.

Almost surely, 228423262464 is an apocalyptic number.

28423262464 is the 168592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28423262464

28423262464 is an abundant number, since it is smaller than the sum of its proper divisors (29956934607).

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

28423262464 is an frugal number, since it uses more digits than its factorization.

28423262464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 300 counting only the distinct ones).

The product of its digits is 884736, while the sum is 43.

The spelling of 28423262464 in words is "twenty-eight billion, four hundred twenty-three million, two hundred sixty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 257 328 514 656 1028 1312 1681 2056 2624 3362 4112 5248 6724 8224 10496 10537 13448 16448 21074 26896 32896 42148 53792 65792 66049 84296 107584 132098 168592 215168 264196 337184 430336 432017 528392 674368 864034 1056784 1348736 1728068 2113568 2697472 2708009 3456136 4227136 5416018 6912272 8454272 10832036 13824544 16908544 21664072 27649088 43328144 55298176 86656288 110596352 111028369 173312576 222056738 346625152 444113476 693250304 888226952 1776453904 3552907808 7105815616 14211631232 28423262464