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28334315584 = 265323972
BaseRepresentation
bin11010011000110110…
…110101100001000000
32201010200000100220201
4122120312311201000
5431012041044314
621003330414544
72022102465031
oct323066654100
981120010821
1028334315584
111101aa89743
1255a9131454
132897271c13
14152b136a88
15b0c7a2b74
hex698db5840

28334315584 has 63 divisors (see below), whose sum is σ = 57451503207. Its totient is φ = 13864840704.

The previous prime is 28334315579. The next prime is 28334315587. The reversal of 28334315584 is 48551343382.

The square root of 28334315584 is 168328.

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 4346501184 + 23987814400 = 65928^2 + 154880^2 .

It is a super-2 number, since 2×283343155842 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28334315587) 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, 71370874 + ... + 71371270.

Almost surely, 228334315584 is an apocalyptic number.

28334315584 is the 168328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28334315584

28334315584 is an abundant number, since it is smaller than the sum of its proper divisors (29117187623).

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

28334315584 is an frugal number, since it uses more digits than its factorization.

28334315584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 452 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 46.

The spelling of 28334315584 in words is "twenty-eight billion, three hundred thirty-four million, three hundred fifteen thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 32 53 64 106 212 397 424 794 848 1588 1696 2809 3176 3392 5618 6352 11236 12704 21041 22472 25408 42082 44944 84164 89888 157609 168328 179776 315218 336656 630436 673312 1115173 1260872 1346624 2230346 2521744 4460692 5043488 8353277 8921384 10086976 16706554 17842768 33413108 35685536 66826216 71371072 133652432 267304864 442723681 534609728 885447362 1770894724 3541789448 7083578896 14167157792 28334315584