19828913104 has 240 divisors, whose sum is σ = 52928237376. Its totient is φ = 7073740800.

The previous prime is 19828913081. The next prime is 19828913147. The reversal of 19828913104 is 40131982891.

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, 15358699 + ... + 15359989.

Almost surely, 2^19828913104 is an apocalyptic number.

19828913104 is a gapful number since it is divisible by the number (14) 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 19828913104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26464118688).

19828913104 is an abundant number, since it is smaller than the sum of its proper divisors (33099324272).

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

19828913104 is a wasteful number, since it uses less digits than its factorization.

19828913104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 46.

The spelling of 19828913104 in words is "nineteen billion, eight hundred twenty-eight million, nine hundred thirteen thousand, one hundred four".