19728817328790 has 96 divisors (see below), whose sum is σ = 51417531599616. Its totient is φ = 5248450509120.

The previous prime is 19728817328767. The next prime is 19728817328819. The reversal of 19728817328790 is 9782371882791.

19728817328790 is a `hidden beast` number, since 1 + 9 + 7 + 288 + 17 + 328 + 7 + 9 + 0 = 666.

19728817328790 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127499209 + ... + 127653851.

It is an arithmetic number, because the mean of its divisors is an integer number (535599287496).

Almost surely, 2^{19728817328790} is an apocalyptic number.

19728817328790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19728817328790 is an abundant number, since it is smaller than the sum of its proper divisors (31688714270826).

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

19728817328790 is a wasteful number, since it uses less digits than its factorization.

19728817328790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158034 (or 158031 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 72.

The spelling of 19728817328790 in words is "nineteen trillion, seven hundred twenty-eight billion, eight hundred seventeen million, three hundred twenty-eight thousand, seven hundred ninety".