28560384000 has 448 divisors, whose sum is σ = 105705737280. Its totient is φ = 7608729600.

The previous prime is 28560383947. The next prime is 28560384023. The reversal of 28560384000 is 48306582.

28560384000 is a `hidden beast` number, since 2 + 8 + 5 + 603 + 8 + 40 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27647484 + ... + 27648516.

Almost surely, 2^28560384000 is an apocalyptic number.

28560384000 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 28560384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52852868640).

28560384000 is an abundant number, since it is smaller than the sum of its proper divisors (77145353280).

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

28560384000 is an equidigital number, since it uses as much as digits as its factorization.

28560384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 28560384000 in words is "twenty-eight billion, five hundred sixty million, three hundred eighty-four thousand".