19928086128 has 160 divisors (see below), whose sum is σ = 59516190720. Its totient is φ = 6377253120.

The previous prime is 19928086127. The next prime is 19928086133. The reversal of 19928086128 is 82168082991.

19928086128 is a `hidden beast` number, since 19 + 9 + 2 + 8 + 0 + 8 + 612 + 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 not an unprimeable number, because it can be changed into a prime (19928086127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1694926 + ... + 1706642.

It is an arithmetic number, because the mean of its divisors is an integer number (371976192).

Almost surely, 2^19928086128 is an apocalyptic number.

19928086128 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 19928086128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29758095360).

19928086128 is an abundant number, since it is smaller than the sum of its proper divisors (39588104592).

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

19928086128 is a wasteful number, since it uses less digits than its factorization.

19928086128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11892 (or 11880 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 19928086128 in words is "nineteen billion, nine hundred twenty-eight million, eighty-six thousand, one hundred twenty-eight".