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28315465984 = 281328092
BaseRepresentation
bin11010010111101110…
…111011100100000000
32201002100112201010101
4122113232323210000
5430442224402414
621001414412144
72021453326651
oct322756734400
981070481111
1028315465984
1111010384763
1255a2961054
1328933a2300
14152882b528
15b0accca74
hex697bbb900

28315465984 has 81 divisors (see below), whose sum is σ = 61278227283. Its totient is φ = 13052522496.

The previous prime is 28315465949. The next prime is 28315466009. The reversal of 28315465984 is 48956451382.

The square root of 28315465984 is 168272.

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 48441600 + 28267024384 = 6960^2 + 168128^2 .

It is a super-2 number, since 2×283154659842 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35000172 + ... + 35000980.

Almost surely, 228315465984 is an apocalyptic number.

28315465984 is the 168272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28315465984

28315465984 is an abundant number, since it is smaller than the sum of its proper divisors (32962761299).

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

28315465984 is an frugal number, since it uses more digits than its factorization.

28315465984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 824 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 55.

The spelling of 28315465984 in words is "twenty-eight billion, three hundred fifteen million, four hundred sixty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 809 832 1352 1618 1664 2704 3236 3328 5408 6472 10517 10816 12944 21034 21632 25888 42068 43264 51776 84136 103552 136721 168272 207104 273442 336544 546884 654481 673088 1093768 1308962 1346176 2187536 2617924 2692352 4375072 5235848 8508253 8750144 10471696 17016506 17500288 20943392 34033012 35000576 41886784 68066024 83773568 110607289 136132048 167547136 221214578 272264096 442429156 544528192 884858312 1089056384 1769716624 2178112768 3539433248 7078866496 14157732992 28315465984