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28566408256 = 263725712
BaseRepresentation
bin11010100110101100…
…001100110001000000
32201201211201220012121
4122212230030301000
5432001000031011
621042341134024
72030621315041
oct324654146100
981654656177
1028566408256
1111129aa1371
1256529ba314
132903384869
14154dcb08c8
15b22d4ae71
hex6a6b0cc40

28566408256 has 63 divisors (see below), whose sum is σ = 58362150357. Its totient is φ = 13872833280.

The previous prime is 28566408251. The next prime is 28566408257. The reversal of 28566408256 is 65280466582.

It is a happy number.

The square root of 28566408256 is 169016.

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

It can be written as a sum of positive squares in only one way, i.e., 25561614400 + 3004793856 = 159880^2 + 54816^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28566408251) 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, 50028451 + ... + 50029021.

It is an arithmetic number, because the mean of its divisors is an integer number (926383339).

Almost surely, 228566408256 is an apocalyptic number.

28566408256 is the 169016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28566408256

28566408256 is an abundant number, since it is smaller than the sum of its proper divisors (29795742101).

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

28566408256 is an frugal number, since it uses more digits than its factorization.

28566408256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 52.

The spelling of 28566408256 in words is "twenty-eight billion, five hundred sixty-six million, four hundred eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 571 592 1142 1184 1369 2284 2368 2738 4568 5476 9136 10952 18272 21127 21904 36544 42254 43808 84508 87616 169016 326041 338032 652082 676064 781699 1304164 1352128 1563398 2608328 3126796 5216656 6253592 10433312 12063517 12507184 20866624 24127034 25014368 48254068 50028736 96508136 193016272 386032544 446350129 772065088 892700258 1785400516 3570801032 7141602064 14283204128 28566408256