19328000 has 88 divisors (see below), whose sum is σ = 48538464. Its totient is φ = 7680000.

The previous prime is 19327999. The next prime is 19328009. The reversal of 19328000 is 82391.

It is not an unprimeable number, because it can be changed into a prime (19328009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127925 + ... + 128075.

Almost surely, 2^19328000 is an apocalyptic number.

19328000 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 19328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24269232).

19328000 is an abundant number, since it is smaller than the sum of its proper divisors (29210464).

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

19328000 is an equidigital number, since it uses as much as digits as its factorization.

19328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 19328000 is about 4396.3621324909. The cubic root of 19328000 is about 268.3669140832.

The spelling of 19328000 in words is "nineteen million, three hundred twenty-eight thousand".