28392795200 has 756 divisors, whose sum is σ = 92762601876. Its totient is φ = 8515584000.

The previous prime is 28392795181. The next prime is 28392795229. The reversal of 28392795200 is 259729382.

It can be written as a sum of positive squares in 6 ways, for example, as 4104196096 + 24288599104 = 64064^2 + 155848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 388942364 + ... + 388942436.

Almost surely, 2^28392795200 is an apocalyptic number.

28392795200 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 28392795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46381300938).

28392795200 is an abundant number, since it is smaller than the sum of its proper divisors (64369806676).

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

28392795200 is a wasteful number, since it uses less digits than its factorization.

28392795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The spelling of 28392795200 in words is "twenty-eight billion, three hundred ninety-two million, seven hundred ninety-five thousand, two hundred".