19328320 has 168 divisors, whose sum is σ = 56144160. Its totient is φ = 6266880.

The previous prime is 19328299. The next prime is 19328321. The reversal of 19328320 is 2382391.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19328321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1017271 + ... + 1017289.

Almost surely, 2^19328320 is an apocalyptic number.

19328320 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 19328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28072080).

19328320 is an abundant number, since it is smaller than the sum of its proper divisors (36815840).

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

19328320 is a wasteful number, since it uses less digits than its factorization.

19328320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 19328320 is about 4396.3985260665. The cubic root of 19328320 is about 268.3683951287.

The spelling of 19328320 in words is "nineteen million, three hundred twenty-eight thousand, three hundred twenty".