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28120606864 = 24725321132
BaseRepresentation
bin11010001100000111…
…100110100010010000
32200120202212211122221
4122030013212202100
5430042333404424
620530214110424
72013566133400
oct321407464220
980522784587
1028120606864
1110a20393169
12554964b414
132861bc7c5c
14150a9c6800
15ae8b3b9e4
hex68c1e6890

28120606864 has 135 divisors (see below), whose sum is σ = 65174079243. Its totient is φ = 11719658496.

The previous prime is 28120606847. The next prime is 28120606873. The reversal of 28120606864 is 46860602182.

The square root of 28120606864 is 167692.

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 4748312464 + 23372294400 = 68908^2 + 152880^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 28120606864.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 248854872 + ... + 248854984.

Almost surely, 228120606864 is an apocalyptic number.

28120606864 is the 167692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28120606864

28120606864 is an abundant number, since it is smaller than the sum of its proper divisors (37053472379).

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

28120606864 is an equidigital number, since it uses as much as digits as its factorization.

28120606864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 28120606864 in words is "twenty-eight billion, one hundred twenty million, six hundred six thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 53 56 98 106 112 113 196 212 226 371 392 424 452 742 784 791 848 904 1484 1582 1808 2597 2809 2968 3164 5194 5537 5618 5936 5989 6328 10388 11074 11236 11978 12656 12769 19663 20776 22148 22472 23956 25538 39326 41552 41923 44296 44944 47912 51076 78652 83846 88592 89383 95824 102152 137641 157304 167692 178766 204304 275282 293461 314608 317417 335384 357532 550564 586922 625681 634834 670768 676757 715064 1101128 1173844 1251362 1269668 1353514 1430128 2202256 2221919 2347688 2502724 2539336 2707028 4443838 4695376 4737299 5005448 5078672 5414056 8887676 9474598 10010896 10828112 15553433 17775352 18949196 31106866 33161093 35550704 35868121 37898392 62213732 66322186 71736242 75796784 124427464 132644372 143472484 248854928 251076847 265288744 286944968 502153694 530577488 573889936 1004307388 1757537929 2008614776 3515075858 4017229552 7030151716 14060303432 28120606864