19328040 has 96 divisors (see below), whose sum is σ = 64064520. Its totient is φ = 5051904.

The previous prime is 19328039. The next prime is 19328069. The reversal of 19328040 is 4082391.

It can be written as a sum of positive squares in 4 ways, for example, as 10929636 + 8398404 = 3306^2 + 2898^2 .

It is a junction number, because it is equal to n+sod(n) for n = 19327995 and 19328013.

It is an unprimeable number.

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, 18574 + ... + 19586.

Almost surely, 2^19328040 is an apocalyptic number.

19328040 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 19328040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32032260).

19328040 is an abundant number, since it is smaller than the sum of its proper divisors (44736480).

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

19328040 is a wasteful number, since it uses less digits than its factorization.

19328040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 19328040 is about 4396.3666817043. The cubic root of 19328040 is about 268.3670992148.

The spelling of 19328040 in words is "nineteen million, three hundred twenty-eight thousand, forty".