19328 has 16 divisors (see below), whose sum is σ = 38760. Its totient is φ = 9600.

The previous prime is 19319. The next prime is 19333. The reversal of 19328 is 82391.

It is a tau number, because it is divible by the number of its divisors (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53 + ... + 203.

2¹⁹³²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19380).

19328 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

19328 is an equidigital number, since it uses as much as digits as its factorization.

19328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

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

The square root of 19328 is about 139.0251775759. The cubic root of 19328 is about 26.8366914083.

The spelling of 19328 in words is "nineteen thousand, three hundred twenty-eight".