Search a number
-
+
28228300560 = 2432539205973
BaseRepresentation
bin11010010010100010…
…011010111100010000
32200212021112020122100
4122102202122330100
5430302421104220
620545022240400
72016344411235
oct322242327420
980767466570
1028228300560
1110a7615a019
125579726100
13287b303635
14151b01b78c
15b03310d90
hex69289af10

28228300560 has 60 divisors (see below), whose sum is σ = 94800045132. Its totient is φ = 7527546624.

The previous prime is 28228300553. The next prime is 28228300579. The reversal of 28228300560 is 6500382282.

28228300560 is a `hidden beast` number, since 282 + 28 + 300 + 56 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13072720896 + 15155579664 = 114336^2 + 123108^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19602267 + ... + 19603706.

Almost surely, 228228300560 is an apocalyptic number.

28228300560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28228300560 is an abundant number, since it is smaller than the sum of its proper divisors (66571744572).

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

28228300560 is a wasteful number, since it uses less digits than its factorization.

28228300560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39205992 (or 39205983 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 28228300560 in words is "twenty-eight billion, two hundred twenty-eight million, three hundred thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 39205973 78411946 117617919 156823892 196029865 235235838 313647784 352853757 392059730 470471676 588089595 627295568 705707514 784119460 940943352 1176179190 1411415028 1568238920 1764268785 1881886704 2352358380 2822830056 3136477840 3528537570 4704716760 5645660112 7057075140 9409433520 14114150280 28228300560