19728291128 has 256 divisors, whose sum is σ = 49975296000. Its totient is φ = 7082380800.

The previous prime is 19728291127. The next prime is 19728291133. The reversal of 19728291128 is 82119282791.

It is a super-2 number, since 2×19728291128² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19728291127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59601923 + ... + 59602253.

It is an arithmetic number, because the mean of its divisors is an integer number (195216000).

Almost surely, 2^19728291128 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 19728291128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24987648000).

19728291128 is an abundant number, since it is smaller than the sum of its proper divisors (30247004872).

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

19728291128 is a wasteful number, since it uses less digits than its factorization.

19728291128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 542 counting only the distinct ones).

The product of its digits is 290304, while the sum is 50.

The spelling of 19728291128 in words is "nineteen billion, seven hundred twenty-eight million, two hundred ninety-one thousand, one hundred twenty-eight".