28615624800 has 576 divisors, whose sum is σ = 112312811520. Its totient is φ = 6186977280.

The previous prime is 28615624789. The next prime is 28615624813. The reversal of 28615624800 is 842651682.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39798841 + ... + 39799559.

It is an arithmetic number, because the mean of its divisors is an integer number (194987520).

Almost surely, 2^28615624800 is an apocalyptic number.

28615624800 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 28615624800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56156405760).

28615624800 is an abundant number, since it is smaller than the sum of its proper divisors (83697186720).

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

28615624800 is a wasteful number, since it uses less digits than its factorization.

28615624800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 28615624800 in words is "twenty-eight billion, six hundred fifteen million, six hundred twenty-four thousand, eight hundred".