13007328 has 96 divisors (see below), whose sum is σ = 36723456. Its totient is φ = 4021248.

The previous prime is 13007303. The next prime is 13007339. The reversal of 13007328 is 82370031.

13007328 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 13007298 and 13007307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94876 + ... + 95012.

It is an arithmetic number, because the mean of its divisors is an integer number (382536).

Almost surely, 2^13007328 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 13007328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18361728).

13007328 is an abundant number, since it is smaller than the sum of its proper divisors (23716128).

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

13007328 is a wasteful number, since it uses less digits than its factorization.

13007328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 13007328 is about 3606.5673430563. The cubic root of 13007328 is about 235.1776414491.

Adding to 13007328 its reverse (82370031), we get a palindrome (95377359).

The spelling of 13007328 in words is "thirteen million, seven thousand, three hundred twenty-eight".