28132074180 has 288 divisors, whose sum is σ = 101998600704. Its totient is φ = 6136492032.

The previous prime is 28132074161. The next prime is 28132074211. The reversal of 28132074180 is 8147023182.

28132074180 is a `hidden beast` number, since 28 + 13 + 207 + 418 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 17184322 + ... + 17185958.

It is an arithmetic number, because the mean of its divisors is an integer number (354161808).

Almost surely, 2^28132074180 is an apocalyptic number.

28132074180 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 28132074180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50999300352).

28132074180 is an abundant number, since it is smaller than the sum of its proper divisors (73866526524).

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

28132074180 is a wasteful number, since it uses less digits than its factorization.

28132074180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 28132074180 in words is "twenty-eight billion, one hundred thirty-two million, seventy-four thousand, one hundred eighty".