28560796160 has 320 divisors, whose sum is σ = 77307864480. Its totient is φ = 10046668800.

The previous prime is 28560796151. The next prime is 28560796171. The reversal of 28560796160 is 6169706582.

It can be written as a sum of positive squares in 16 ways, for example, as 12057796864 + 16502999296 = 109808^2 + 128464^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 28560796099 and 28560796108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97476974 + ... + 97477266.

Almost surely, 2^28560796160 is an apocalyptic number.

28560796160 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 28560796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38653932240).

28560796160 is an abundant number, since it is smaller than the sum of its proper divisors (48747068320).

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

28560796160 is a wasteful number, since it uses less digits than its factorization.

28560796160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 50.

The spelling of 28560796160 in words is "twenty-eight billion, five hundred sixty million, seven hundred ninety-six thousand, one hundred sixty".