28093112100 has 243 divisors, whose sum is σ = 91103831091. Its totient is φ = 7240752000.

The previous prime is 28093112071. The next prime is 28093112141. The reversal of 28093112100 is 121139082.

The square root of 28093112100 is 167610.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2666896164 + 25426215936 = 51642^2 + 159456^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 186047025 + ... + 186047175.

Almost surely, 2^28093112100 is an apocalyptic number.

28093112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28093112100 is the 167610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28093112100

28093112100 is an abundant number, since it is smaller than the sum of its proper divisors (63010718991).

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

28093112100 is a wasteful number, since it uses less digits than its factorization.

28093112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 28093112100 in words is "twenty-eight billion, ninety-three million, one hundred twelve thousand, one hundred".