28590912000 has 720 divisors, whose sum is σ = 119910273912. Its totient is φ = 6528614400.

The previous prime is 28590911983. The next prime is 28590912101. The reversal of 28590912000 is 21909582.

28590912000 is a `hidden beast` number, since 285 + 90 + 91 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1151652096 + 27439259904 = 33936^2 + 165648^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 28223494 + ... + 28224506.

Almost surely, 2^28590912000 is an apocalyptic number.

28590912000 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 28590912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59955136956).

28590912000 is an abundant number, since it is smaller than the sum of its proper divisors (91319361912).

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

28590912000 is a wasteful number, since it uses less digits than its factorization.

28590912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 28590912000 in words is "twenty-eight billion, five hundred ninety million, nine hundred twelve thousand".