28918354400 has 144 divisors (see below), whose sum is σ = 77317707600. Its totient is φ = 10496348160.

The previous prime is 28918354349. The next prime is 28918354417. The reversal of 28918354400 is 445381982.

It is a happy number.

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, 590036 + ... + 637164.

It is an arithmetic number, because the mean of its divisors is an integer number (536928525).

Almost surely, 2^28918354400 is an apocalyptic number.

28918354400 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 28918354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38658853800).

28918354400 is an abundant number, since it is smaller than the sum of its proper divisors (48399353200).

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

28918354400 is a wasteful number, since it uses less digits than its factorization.

28918354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47221 (or 47208 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 28918354400 in words is "twenty-eight billion, nine hundred eighteen million, three hundred fifty-four thousand, four hundred".