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28642854564 = 22326724212
BaseRepresentation
bin11010101011001111…
…110100011010100100
32201221011120202211100
4122223033310122210
5432130032321224
621054111440100
72032540150422
oct325317643244
981834522740
1028642854564
1111169165635
125674526030
13291616c56c
14155a0d0112
15b298ebac9
hex6ab3f46a4

28642854564 has 81 divisors (see below), whose sum is σ = 73674536481. Its totient is φ = 9382776480.

The previous prime is 28642854553. The next prime is 28642854587. The reversal of 28642854564 is 46545824682.

The square root of 28642854564 is 169242.

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

28642854564 is a `hidden beast` number, since 2 + 8 + 6 + 4 + 28 + 54 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 135908964 + 28506945600 = 11658^2 + 168840^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 28642854564.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 68035074 + ... + 68035494.

Almost surely, 228642854564 is an apocalyptic number.

28642854564 is the 169242-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28642854564

28642854564 is an abundant number, since it is smaller than the sum of its proper divisors (45031681917).

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

28642854564 is an equidigital number, since it uses as much as digits as its factorization.

28642854564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 493 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The spelling of 28642854564 in words is "twenty-eight billion, six hundred forty-two million, eight hundred fifty-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 421 603 804 842 1206 1263 1684 2412 2526 3789 4489 5052 7578 8978 13467 15156 17956 26934 28207 40401 53868 56414 80802 84621 112828 161604 169242 177241 253863 338484 354482 507726 531723 708964 1015452 1063446 1595169 1889869 2126892 3190338 3779738 5669607 6380676 7559476 11339214 11875147 17008821 22678428 23750294 34017642 35625441 47500588 68035284 71250882 106876323 142501764 213752646 427505292 795634849 1591269698 2386904547 3182539396 4773809094 7160713641 9547618188 14321427282 28642854564