28289637504000 has 440 divisors, whose sum is σ = 105429067317288. Its totient is φ = 7543900569600.

The previous prime is 28289637503947. The next prime is 28289637504031. The reversal of 28289637504000 is 40573698282.

28289637504000 is a `hidden beast` number, since 2 + 82 + 8 + 96 + 3 + 75 + 0 + 400 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3289957502976 + 24999680001024 = 1813824^2 + 4999968^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9003724 + ... + 11732276.

Almost surely, 2^{28289637504000} is an apocalyptic number.

28289637504000 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 28289637504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52714533658644).

28289637504000 is an abundant number, since it is smaller than the sum of its proper divisors (77139429813288).

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

28289637504000 is an equidigital number, since it uses as much as digits as its factorization.

28289637504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728600 (or 2728563 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 28289637504000 in words is "twenty-eight trillion, two hundred eighty-nine billion, six hundred thirty-seven million, five hundred four thousand".