19919328 has 96 divisors (see below), whose sum is σ = 61471872. Its totient is φ = 5568000.

The previous prime is 19919327. The next prime is 19919369. The reversal of 19919328 is 82391991.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 19919328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19919323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13003 + ... + 14453.

It is an arithmetic number, because the mean of its divisors is an integer number (640332).

Almost surely, 2^19919328 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 19919328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30735936).

19919328 is an abundant number, since it is smaller than the sum of its proper divisors (41552544).

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

19919328 is a wasteful number, since it uses less digits than its factorization.

19919328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1480 counting only the distinct ones).

The product of its digits is 34992, while the sum is 42.

The square root of 19919328 is about 4463.1074376492. The cubic root of 19919328 is about 271.0763073561.

The spelling of 19919328 in words is "nineteen million, nine hundred nineteen thousand, three hundred twenty-eight".