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28313446756 = 22741721012
BaseRepresentation
bin11010010111100111…
…001110100101100100
32201002012202010021011
4122113213032211210
5430441220244011
621001303232004
72021430220000
oct322747164544
981065663234
1028313446756
111100a225681
1255a2148604
132892b461ba
141528463700
15b0aa2e621
hex6979ce964

28313446756 has 135 divisors (see below), whose sum is σ = 62017352747. Its totient is φ = 11307475200.

The previous prime is 28313446753. The next prime is 28313446831. The reversal of 28313446756 is 65764431382.

The square root of 28313446756 is 168266.

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 16861022500 + 11452424256 = 129850^2 + 107016^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (28313446753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 280331106 + ... + 280331206.

Almost surely, 228313446756 is an apocalyptic number.

28313446756 is the 168266-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28313446756

28313446756 is an abundant number, since it is smaller than the sum of its proper divisors (33703905991).

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

28313446756 is an equidigital number, since it uses as much as digits as its factorization.

28313446756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 127 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 49.

Multiplying 28313446756 by its sum of digits (49), we get a square (1387358891044 = 11778622).

28313446756 divided by its sum of digits (49) gives a square (577825444 = 240382).

The spelling of 28313446756 in words is "twenty-eight billion, three hundred thirteen million, four hundred forty-six thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 101 119 196 202 238 289 343 404 476 578 686 707 833 1156 1372 1414 1666 1717 2023 2401 2828 3332 3434 4046 4802 4949 5831 6868 8092 9604 9898 10201 11662 12019 14161 19796 20402 23324 24038 28322 29189 34643 40804 40817 48076 56644 58378 69286 71407 81634 84133 99127 116756 138572 142814 163268 168266 173417 198254 204323 242501 285628 336532 346834 396508 408646 485002 499849 588931 693668 693889 817292 970004 999698 1177862 1213919 1387778 1430261 1999396 2355724 2427838 2775556 2860522 2948089 3498943 4122517 4855676 5721044 5896178 6997886 8245034 8497433 10011827 11792356 13995772 16490068 16994866 20023654 20636623 24492601 33989732 40047308 41273246 48985202 59482031 70082789 82546492 97970404 118964062 140165578 144456361 237928124 280331156 288912722 416374217 577825444 832748434 1011194527 1665496868 2022389054 4044778108 7078361689 14156723378 28313446756