13019328 has 84 divisors (see below), whose sum is σ = 42661840. Its totient is φ = 3718656.

The previous prime is 13019323. The next prime is 13019359. The reversal of 13019328 is 82391031.

It is a tau number, because it is divible by the number of its divisors (84).

It is not an unprimeable number, because it can be changed into a prime (13019323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2418 + ... + 5646.

Almost surely, 2^13019328 is an apocalyptic number.

13019328 is a gapful number since it is divisible by the number (18) 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 13019328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21330920).

13019328 is an abundant number, since it is smaller than the sum of its proper divisors (29642512).

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

13019328 is a wasteful number, since it uses less digits than its factorization.

13019328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 13019328 is about 3608.2305913009. The cubic root of 13019328 is about 235.2499408043.

The spelling of 13019328 in words is "thirteen million, nineteen thousand, three hundred twenty-eight".