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28564718120 = 23529314716901
BaseRepresentation
bin11010100110100101…
…110000001000101000
32201201201120000202222
4122212211300020220
5432000031434440
621042241013212
72030601045401
oct324645601050
981651500688
1028564718120
1111129047564
125652324208
132902c12493
14154d9909a8
15b22b152b5
hex6a6970228

28564718120 has 128 divisors (see below), whose sum is σ = 70095974400. Its totient is φ = 10448256000.

The previous prime is 28564718113. The next prime is 28564718131. The reversal of 28564718120 is 2181746582.

It is a Cunningham number, because it is equal to 1690112-1.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1681670 + ... + 1698570.

It is an arithmetic number, because the mean of its divisors is an integer number (547624800).

Almost surely, 228564718120 is an apocalyptic number.

28564718120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28564718120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35047987200).

28564718120 is an abundant number, since it is smaller than the sum of its proper divisors (41531256280).

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

28564718120 is a wasteful number, since it uses less digits than its factorization.

28564718120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17019 (or 17015 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 44.

The spelling of 28564718120 in words is "twenty-eight billion, five hundred sixty-four million, seven hundred eighteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 31 40 47 58 62 94 116 124 145 155 188 232 235 248 290 310 376 470 580 620 899 940 1160 1240 1363 1457 1798 1880 2726 2914 3596 4495 5452 5828 6815 7192 7285 8990 10904 11656 13630 14570 16901 17980 27260 29140 33802 35960 42253 54520 58280 67604 84505 84506 135208 169010 169012 211265 338020 338024 422530 490129 523931 676040 794347 845060 980258 1047862 1588694 1690120 1960516 2095724 2450645 2619655 3177388 3921032 3971735 4191448 4901290 5239310 6354776 7943470 9802580 10478620 15193999 15886940 19605160 20957240 23036063 24624757 30387998 31773880 46072126 49249514 60775996 75969995 92144252 98499028 115180315 121551992 123123785 151939990 184288504 196998056 230360630 246247570 303879980 460721260 492495140 607759960 714117953 921442520 984990280 1428235906 2856471812 3570589765 5712943624 7141179530 14282359060 28564718120