19628319168 has 392 divisors, whose sum is σ = 61465510800. Its totient is φ = 6207860736.

The previous prime is 19628319133. The next prime is 19628319169. The reversal of 19628319168 is 86191382691.

19628319168 is a `hidden beast` number, since 1 + 9 + 628 + 3 + 1 + 9 + 1 + 6 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19628319169) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 120419055 + ... + 120419217.

Almost surely, 2^19628319168 is an apocalyptic number.

19628319168 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 19628319168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30732755400).

19628319168 is an abundant number, since it is smaller than the sum of its proper divisors (41837191632).

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

19628319168 is an equidigital number, since it uses as much as digits as its factorization.

19628319168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 286 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The spelling of 19628319168 in words is "nineteen billion, six hundred twenty-eight million, three hundred nineteen thousand, one hundred sixty-eight".