28993382400 has 288 divisors, whose sum is σ = 98956166400. Its totient is φ = 7480934400.

The previous prime is 28993382393. The next prime is 28993382413. The reversal of 28993382400 is 428339982.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28993382400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4758556 + ... + 4764644.

It is an arithmetic number, because the mean of its divisors is an integer number (343597800).

Almost surely, 2^28993382400 is an apocalyptic number.

28993382400 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 28993382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49478083200).

28993382400 is an abundant number, since it is smaller than the sum of its proper divisors (69962784000).

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

28993382400 is a wasteful number, since it uses less digits than its factorization.

28993382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6155 (or 6130 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 28993382400 in words is "twenty-eight billion, nine hundred ninety-three million, three hundred eighty-two thousand, four hundred".