28230564960000 has 1080 divisors, whose sum is σ = 112503337845360. Its totient is φ = 6939260928000.

The previous prime is 28230564959983. The next prime is 28230564960041. The reversal of 28230564960000 is 6946503282.

28230564960000 is a `hidden beast` number, since 2 + 8 + 2 + 30 + 5 + 6 + 4 + 9 + 600 + 0 + 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39817439646 + ... + 39817440354.

Almost surely, 2^{28230564960000} is an apocalyptic number.

28230564960000 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 28230564960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56251668922680).

28230564960000 is an abundant number, since it is smaller than the sum of its proper divisors (84272772885360).

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

28230564960000 is an frugal number, since it uses more digits than its factorization.

28230564960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 28230564960000 in words is "twenty-eight trillion, two hundred thirty billion, five hundred sixty-four million, nine hundred sixty thousand".