28732457582400 has 1344 divisors, whose sum is σ = 120337497907200. Its totient is φ = 5894664192000.

The previous prime is 28732457582377. The next prime is 28732457582447. The reversal of 28732457582400 is 428575423782.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 404254066 + ... + 404325134.

It is an arithmetic number, because the mean of its divisors is an integer number (89536828800).

Almost surely, 2^{28732457582400} is an apocalyptic number.

28732457582400 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 28732457582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60168748953600).

28732457582400 is an abundant number, since it is smaller than the sum of its proper divisors (91605040324800).

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

28732457582400 is a wasteful number, since it uses less digits than its factorization.

28732457582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71168 (or 71153 counting only the distinct ones).

The product of its (nonzero) digits is 30105600, while the sum is 57.

The spelling of 28732457582400 in words is "twenty-eight trillion, seven hundred thirty-two billion, four hundred fifty-seven million, five hundred eighty-two thousand, four hundred".