28814234175200 has 108 divisors (see below), whose sum is σ = 74239855142040. Its totient is φ = 10919078104320.

The previous prime is 28814234175163. The next prime is 28814234175269. The reversal of 28814234175200 is 257143241882.

It is a super-2 number, since 2×28814234175200² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 49597340 + ... + 50174939.

It is an arithmetic number, because the mean of its divisors is an integer number (687406066130).

Almost surely, 2^{28814234175200} is an apocalyptic number.

28814234175200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28814234175200 is an abundant number, since it is smaller than the sum of its proper divisors (45425620966840).

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

28814234175200 is a wasteful number, since it uses less digits than its factorization.

28814234175200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99772337 (or 99772305 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 47.

The spelling of 28814234175200 in words is "twenty-eight trillion, eight hundred fourteen billion, two hundred thirty-four million, one hundred seventy-five thousand, two hundred".