Search a number
-
+
28132723008 = 26341319127173
BaseRepresentation
bin11010001100110101…
…110100100101000000
32200121121200101220000
4122030311310211000
5430103434114013
620531325520000
72014104125415
oct321465644500
980547611800
1028132723008
1110a27209205
125551713000
13286457aa80
14150c45c10c
15ae9c31973
hex68cd74940

28132723008 has 560 divisors, whose sum is σ = 95831070720. Its totient is φ = 8089030656.

The previous prime is 28132722997. The next prime is 28132723043. The reversal of 28132723008 is 80032723182.

It is a happy number.

28132723008 is a `hidden beast` number, since 2 + 81 + 3 + 272 + 300 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 162616810 + ... + 162616982.

It is an arithmetic number, because the mean of its divisors is an integer number (171126912).

Almost surely, 228132723008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28132723008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47915535360).

28132723008 is an abundant number, since it is smaller than the sum of its proper divisors (67698347712).

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

28132723008 is a wasteful number, since it uses less digits than its factorization.

28132723008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 28132723008 in words is "twenty-eight billion, one hundred thirty-two million, seven hundred twenty-three thousand, eight".