18806095728 has 720 divisors, whose sum is σ = 69800175360. Its totient is φ = 4823546112.

The previous prime is 18806095687. The next prime is 18806095753. The reversal of 18806095728 is 82759060881.

18806095728 is a `hidden beast` number, since 1 + 8 + 8 + 0 + 60 + 9 + 572 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 175757851 + ... + 175757957.

It is an arithmetic number, because the mean of its divisors is an integer number (96944688).

Almost surely, 2^18806095728 is an apocalyptic number.

18806095728 is a gapful number since it is divisible by the number (18) 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 18806095728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34900087680).

18806095728 is an abundant number, since it is smaller than the sum of its proper divisors (50994079632).

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

18806095728 is a wasteful number, since it uses less digits than its factorization.

18806095728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 18806095728 in words is "eighteen billion, eight hundred six million, ninety-five thousand, seven hundred twenty-eight".