28501593120 has 1200 divisors, whose sum is σ = 135857227968. Its totient is φ = 5466839040.

The previous prime is 28501593097. The next prime is 28501593137. The reversal of 28501593120 is 2139510582.

28501593120 is a `hidden beast` number, since 2 + 8 + 50 + 1 + 593 + 12 + 0 = 666.

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 199 ways as a sum of consecutive naturals, for example, 2192430234 + ... + 2192430246.

Almost surely, 2^28501593120 is an apocalyptic number.

28501593120 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 28501593120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67928613984).

28501593120 is an abundant number, since it is smaller than the sum of its proper divisors (107355634848).

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

28501593120 is an equidigital number, since it uses as much as digits as its factorization.

28501593120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 28501593120 in words is "twenty-eight billion, five hundred one million, five hundred ninety-three thousand, one hundred twenty".