28024336972800 has 2112 divisors, whose sum is σ = 124283935795200. Its totient is φ = 6125089259520.

The previous prime is 28024336972783. The next prime is 28024336972829. The reversal of 28024336972800 is 827963342082.

28024336972800 is a `hidden beast` number, since 2 + 8 + 0 + 2 + 433 + 69 + 72 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 9013937646 + ... + 9013940754.

Almost surely, 2^{28024336972800} is an apocalyptic number.

28024336972800 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 28024336972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62141967897600).

28024336972800 is an abundant number, since it is smaller than the sum of its proper divisors (96259598822400).

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

28024336972800 is an equidigital number, since it uses as much as digits as its factorization.

28024336972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3190 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 28024336972800 in words is "twenty-eight trillion, twenty-four billion, three hundred thirty-six million, nine hundred seventy-two thousand, eight hundred".