Search a number
-
+
28218292872 = 23372112316397
BaseRepresentation
bin11010010001111100…
…001111101010001000
32200211120200210200020
4122101330033222020
5430242340332442
620544023540440
72016163350300
oct322174175210
980746623606
1028218292872
1110a70544100
1255762ba720
13287920b423
141519974600
15b024d59ec
hex691f0fa88

28218292872 has 288 divisors, whose sum is σ = 93126216960. Its totient is φ = 7091884800.

The previous prime is 28218292789. The next prime is 28218292897. The reversal of 28218292872 is 27829281282.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4407978 + ... + 4414374.

It is an arithmetic number, because the mean of its divisors is an integer number (323354920).

Almost surely, 228218292872 is an apocalyptic number.

28218292872 is a gapful number since it is divisible by the number (22) 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 28218292872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46563108480).

28218292872 is an abundant number, since it is smaller than the sum of its proper divisors (64907924088).

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

28218292872 is a wasteful number, since it uses less digits than its factorization.

28218292872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6473 (or 6451 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 51.

The spelling of 28218292872 in words is "twenty-eight billion, two hundred eighteen million, two hundred ninety-two thousand, eight hundred seventy-two".