28171123200 has 1080 divisors, whose sum is σ = 115804713024. Its totient is φ = 6528614400.

The previous prime is 28171123199. The next prime is 28171123223. The reversal of 28171123200 is 232117182.

It is a super-2 number, since 2×28171123200² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 599385577 + ... + 599385623.

Almost surely, 2^28171123200 is an apocalyptic number.

28171123200 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 28171123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57902356512).

28171123200 is an abundant number, since it is smaller than the sum of its proper divisors (87633589824).

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

28171123200 is a wasteful number, since it uses less digits than its factorization.

28171123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 28171123200 in words is "twenty-eight billion, one hundred seventy-one million, one hundred twenty-three thousand, two hundred".