13307328 has 140 divisors (see below), whose sum is σ = 42044112. Its totient is φ = 4147200.

The previous prime is 13307323. The next prime is 13307341. The reversal of 13307328 is 82370331.

13307328 is a `hidden beast` number, since 1 + 330 + 7 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13307321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 88053 + ... + 88203.

Almost surely, 2^13307328 is an apocalyptic number.

13307328 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 13307328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21022056).

13307328 is an abundant number, since it is smaller than the sum of its proper divisors (28736784).

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

13307328 is a wasteful number, since it uses less digits than its factorization.

13307328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 13307328 is about 3647.9210517773. The cubic root of 13307328 is about 236.9719563036.

Adding to 13307328 its reverse (82370331), we get a palindrome (95677659).

The spelling of 13307328 in words is "thirteen million, three hundred seven thousand, three hundred twenty-eight".