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28552890960 = 24335114327947
BaseRepresentation
bin11010100101111000…
…101000101001010000
32201200220022010222000
4122211320220221100
5431434020002320
621041135314000
72030365366026
oct324570505120
981626263860
1028552890960
11111223a9650
12564a37b900
132900631069
14154c192716
15b21a7ac90
hex6a5e28a50

28552890960 has 320 divisors, whose sum is σ = 109788687360. Its totient is φ = 6760696320.

The previous prime is 28552890959. The next prime is 28552891027. The reversal of 28552890960 is 6909825582.

28552890960 is a `hidden beast` number, since 2 + 8 + 552 + 89 + 0 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 28552890897 and 28552890906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1007707 + ... + 1035653.

It is an arithmetic number, because the mean of its divisors is an integer number (343089648).

Almost surely, 228552890960 is an apocalyptic number.

28552890960 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 28552890960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54894343680).

28552890960 is an abundant number, since it is smaller than the sum of its proper divisors (81235796400).

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

28552890960 is a wasteful number, since it uses less digits than its factorization.

28552890960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28023 (or 28011 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 28552890960 in words is "twenty-eight billion, five hundred fifty-two million, eight hundred ninety thousand, nine hundred sixty".