28082315520 has 1152 divisors, whose sum is σ = 122443776000. Its totient is φ = 6080126976.

The previous prime is 28082315519. The next prime is 28082315549. The reversal of 28082315520 is 2551328082.

28082315520 is a `hidden beast` number, since 2 + 80 + 8 + 23 + 1 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 272643789 + ... + 272643891.

It is an arithmetic number, because the mean of its divisors is an integer number (106288000).

Almost surely, 2^28082315520 is an apocalyptic number.

28082315520 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 28082315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61221888000).

28082315520 is an abundant number, since it is smaller than the sum of its proper divisors (94361460480).

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

28082315520 is a wasteful number, since it uses less digits than its factorization.

28082315520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 28082315520 in words is "twenty-eight billion, eighty-two million, three hundred fifteen thousand, five hundred twenty".