28416080400 has 120 divisors (see below), whose sum is σ = 91553009280. Its totient is φ = 7533765120.

The previous prime is 28416080383. The next prime is 28416080443. The reversal of 28416080400 is 408061482.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139161 + ... + 276039.

It is an arithmetic number, because the mean of its divisors is an integer number (762941744).

Almost surely, 2^28416080400 is an apocalyptic number.

28416080400 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 28416080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45776504640).

28416080400 is an abundant number, since it is smaller than the sum of its proper divisors (63136928880).

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

28416080400 is a wasteful number, since it uses less digits than its factorization.

28416080400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137073 (or 137062 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 28416080400 in words is "twenty-eight billion, four hundred sixteen million, eighty thousand, four hundred".