28742604800 has 576 divisors, whose sum is σ = 90994176000. Its totient is φ = 8758886400.

The previous prime is 28742604797. The next prime is 28742604811. The reversal of 28742604800 is 840624782.

It is a super-2 number, since 2×28742604800² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

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, 144435101 + ... + 144435299.

It is an arithmetic number, because the mean of its divisors is an integer number (157976000).

Almost surely, 2^28742604800 is an apocalyptic number.

28742604800 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 28742604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45497088000).

28742604800 is an abundant number, since it is smaller than the sum of its proper divisors (62251571200).

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

28742604800 is a wasteful number, since it uses less digits than its factorization.

28742604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 41.

The spelling of 28742604800 in words is "twenty-eight billion, seven hundred forty-two million, six hundred four thousand, eight hundred".