13793328 has 100 divisors (see below), whose sum is σ = 41411040. Its totient is φ = 4427136.

The previous prime is 13793327. The next prime is 13793333. The reversal of 13793328 is 82339731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13793292 and 13793301.

It is not an unprimeable number, because it can be changed into a prime (13793323) 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, 37401 + ... + 37767.

Almost surely, 2^13793328 is an apocalyptic number.

13793328 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 13793328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20705520).

13793328 is an abundant number, since it is smaller than the sum of its proper divisors (27617712).

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

13793328 is a wasteful number, since it uses less digits than its factorization.

13793328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 401 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 13793328 is about 3713.9369946191. The cubic root of 13793328 is about 239.8223685619.

The spelling of 13793328 in words is "thirteen million, seven hundred ninety-three thousand, three hundred twenty-eight".