28087558400 has 432 divisors, whose sum is σ = 80094123648. Its totient is φ = 9658368000.

The previous prime is 28087558357. The next prime is 28087558427. The reversal of 28087558400 is 485578082.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106796669 + ... + 106796931.

It is an arithmetic number, because the mean of its divisors is an integer number (185403064).

Almost surely, 2^28087558400 is an apocalyptic number.

28087558400 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 28087558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40047061824).

28087558400 is an abundant number, since it is smaller than the sum of its proper divisors (52006565248).

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

28087558400 is a wasteful number, since it uses less digits than its factorization.

28087558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 47.

The spelling of 28087558400 in words is "twenty-eight billion, eighty-seven million, five hundred fifty-eight thousand, four hundred".