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28625256100 = 22527224172
BaseRepresentation
bin11010101010001100…
…101011111010100100
32201212221110200021101
4122222030223322210
5432111031143400
621052242325444
72032234443100
oct325214537244
981787420241
1028625256100
111115a235651
12566a659884
13291261a27c
141557a2c900
15b280c256a
hex6aa32bea4

28625256100 has 81 divisors (see below), whose sum is σ = 72288233283. Its totient is φ = 9810312960.

The previous prime is 28625256089. The next prime is 28625256167. The reversal of 28625256100 is 165252682.

The square root of 28625256100 is 169190.

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 6118055524 + 22507200576 = 78218^2 + 150024^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 28625256100.

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, 11842092 + ... + 11844508.

Almost surely, 228625256100 is an apocalyptic number.

28625256100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28625256100 is the 169190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28625256100

28625256100 is an abundant number, since it is smaller than the sum of its proper divisors (43662977183).

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

28625256100 is an equidigital number, since it uses as much as digits as its factorization.

28625256100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4862 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 28625256100 in words is "twenty-eight billion, six hundred twenty-five million, two hundred fifty-six thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2417 2450 4834 4900 9668 12085 16919 24170 33838 48340 60425 67676 84595 118433 120850 169190 236866 241700 338380 422975 473732 592165 845950 1184330 1691900 2368660 2960825 5841889 5921650 11683778 11843300 23367556 29209445 40893223 58418890 81786446 116837780 146047225 163572892 204466115 286252561 292094450 408932230 572505122 584188900 817864460 1022330575 1145010244 1431262805 2044661150 2862525610 4089322300 5725051220 7156314025 14312628050 28625256100