14657328 has 160 divisors (see below), whose sum is σ = 49758720. Its totient is φ = 4043520.

The previous prime is 14657297. The next prime is 14657329. The reversal of 14657328 is 82375641.

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

Its product of digits (40320) is a multiple of the sum of its prime divisors (180).

It is a junction number, because it is equal to n+sod(n) for n = 14657292 and 14657301.

It is not an unprimeable number, because it can be changed into a prime (14657329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111823 + ... + 111953.

It is an arithmetic number, because the mean of its divisors is an integer number (310992).

Almost surely, 2^14657328 is an apocalyptic number.

14657328 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 14657328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24879360).

14657328 is an abundant number, since it is smaller than the sum of its proper divisors (35101392).

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

14657328 is a wasteful number, since it uses less digits than its factorization.

14657328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 14657328 is about 3828.4889969804. The cubic root of 14657328 is about 244.7287181925.

The spelling of 14657328 in words is "fourteen million, six hundred fifty-seven thousand, three hundred twenty-eight".