19428238800 has 360 divisors, whose sum is σ = 70646415840. Its totient is φ = 5126976000.

The previous prime is 19428238799. The next prime is 19428238829. The reversal of 19428238800 is 883282491.

19428238800 is a `hidden beast` number, since 194 + 2 + 82 + 388 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 9816211 + ... + 9818189.

It is an arithmetic number, because the mean of its divisors is an integer number (196240044).

Almost surely, 2^19428238800 is an apocalyptic number.

19428238800 is a gapful number since it is divisible by the number (10) 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 19428238800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35323207920).

19428238800 is an abundant number, since it is smaller than the sum of its proper divisors (51218177040).

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

19428238800 is a wasteful number, since it uses less digits than its factorization.

19428238800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 19428238800 in words is "nineteen billion, four hundred twenty-eight million, two hundred thirty-eight thousand, eight hundred".