28891948800 has 864 divisors, whose sum is σ = 118799896320. Its totient is φ = 6075187200.

The previous prime is 28891948781. The next prime is 28891948829. The reversal of 28891948800 is 884919882.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46674891 + ... + 46675509.

It is an arithmetic number, because the mean of its divisors is an integer number (137499880).

Almost surely, 2^28891948800 is an apocalyptic number.

28891948800 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 28891948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59399948160).

28891948800 is an abundant number, since it is smaller than the sum of its proper divisors (89907947520).

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

28891948800 is a wasteful number, since it uses less digits than its factorization.

28891948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 57.

The spelling of 28891948800 in words is "twenty-eight billion, eight hundred ninety-one million, nine hundred forty-eight thousand, eight hundred".