28207538400 has 144 divisors (see below), whose sum is σ = 91869120000. Its totient is φ = 7517621760.

The previous prime is 28207538369. The next prime is 28207538413. The reversal of 28207538400 is 483570282.

It is a Cunningham number, because it is equal to 167951²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8059851 + ... + 8063349.

It is an arithmetic number, because the mean of its divisors is an integer number (637980000).

Almost surely, 2^28207538400 is an apocalyptic number.

28207538400 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 28207538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45934560000).

28207538400 is an abundant number, since it is smaller than the sum of its proper divisors (63661581600).

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

28207538400 is a wasteful number, since it uses less digits than its factorization.

28207538400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6881 (or 6868 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 28207538400 in words is "twenty-eight billion, two hundred seven million, five hundred thirty-eight thousand, four hundred".