19428235200 has 252 divisors, whose sum is σ = 75330652488. Its totient is φ = 4709836800.

The previous prime is 19428235181. The next prime is 19428235237. The reversal of 19428235200 is 253282491.

It is a happy number.

19428235200 is a `hidden beast` number, since 1 + 9 + 428 + 23 + 5 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 97074 + ... + 219726.

Almost surely, 2^19428235200 is an apocalyptic number.

19428235200 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 19428235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37665326244).

19428235200 is an abundant number, since it is smaller than the sum of its proper divisors (55902417288).

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

19428235200 is a wasteful number, since it uses less digits than its factorization.

19428235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122692 (or 122674 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 19428235200 in words is "nineteen billion, four hundred twenty-eight million, two hundred thirty-five thousand, two hundred".