18328765728 has 192 divisors, whose sum is σ = 59805188352. Its totient is φ = 4785868800.

The previous prime is 18328765699. The next prime is 18328765751. The reversal of 18328765728 is 82756782381.

It is a super-2 number, since 2×18328765728² (a number of 21 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 31 ways as a sum of consecutive naturals, for example, 871950 + ... + 892722.

It is an arithmetic number, because the mean of its divisors is an integer number (311485356).

Almost surely, 2^18328765728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18328765728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29902594176).

18328765728 is an abundant number, since it is smaller than the sum of its proper divisors (41476422624).

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

18328765728 is a wasteful number, since it uses less digits than its factorization.

18328765728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20907 (or 20899 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 57.

The spelling of 18328765728 in words is "eighteen billion, three hundred twenty-eight million, seven hundred sixty-five thousand, seven hundred twenty-eight".