28450144800 has 648 divisors, whose sum is σ = 127328069232. Its totient is φ = 5910912000.

The previous prime is 28450144799. The next prime is 28450144841. The reversal of 28450144800 is 844105482.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3877135 + ... + 3884465.

It is an arithmetic number, because the mean of its divisors is an integer number (196493934).

Almost surely, 2^28450144800 is an apocalyptic number.

28450144800 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 28450144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63664034616).

28450144800 is an abundant number, since it is smaller than the sum of its proper divisors (98877924432).

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

28450144800 is a wasteful number, since it uses less digits than its factorization.

28450144800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7382 (or 7359 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 28450144800 in words is "twenty-eight billion, four hundred fifty million, one hundred forty-four thousand, eight hundred".