28092137472000 has 2112 divisors, whose sum is σ = 122330034665280. Its totient is φ = 6421059993600.

The previous prime is 28092137471987. The next prime is 28092137472017. The reversal of 28092137472000 is 27473129082.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 10! ⋅ 8! ⋅ 4! ⋅ (2!)³.

28092137472000 is a `hidden beast` number, since 2 + 80 + 92 + 13 + 7 + 472 + 0 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 4013162495997 + ... + 4013162496003.

Almost surely, 2^{28092137472000} is an apocalyptic number.

28092137472000 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 28092137472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61165017332640).

28092137472000 is an abundant number, since it is smaller than the sum of its proper divisors (94237897193280).

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

28092137472000 is an frugal number, since it uses more digits than its factorization.

28092137472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 28092137472000 in words is "twenty-eight trillion, ninety-two billion, one hundred thirty-seven million, four hundred seventy-two thousand".