28322784000 has 1080 divisors, whose sum is σ = 123155480448. Its totient is φ = 6444748800.

The previous prime is 28322783981. The next prime is 28322784037. The reversal of 28322784000 is 48722382.

28322784000 is a `hidden beast` number, since 28 + 3 + 227 + 8 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

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 119 ways as a sum of consecutive naturals, for example, 127007889 + ... + 127008111.

Almost surely, 2^28322784000 is an apocalyptic number.

28322784000 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 28322784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61577740224).

28322784000 is an abundant number, since it is smaller than the sum of its proper divisors (94832696448).

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

28322784000 is an equidigital number, since it uses as much as digits as its factorization.

28322784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 28322784000 in words is "twenty-eight billion, three hundred twenty-two million, seven hundred eighty-four thousand".