28075807200 has 864 divisors, whose sum is σ = 113194755072. Its totient is φ = 5913907200.

The previous prime is 28075807157. The next prime is 28075807229. The reversal of 28075807200 is 270857082.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 597357577 + ... + 597357623.

It is an arithmetic number, because the mean of its divisors is an integer number (131012448).

Almost surely, 2^28075807200 is an apocalyptic number.

28075807200 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 28075807200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56597377536).

28075807200 is an abundant number, since it is smaller than the sum of its proper divisors (85118947872).

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

28075807200 is a wasteful number, since it uses less digits than its factorization.

28075807200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The spelling of 28075807200 in words is "twenty-eight billion, seventy-five million, eight hundred seven thousand, two hundred".