14728064 has 64 divisors (see below), whose sum is σ = 32387040. Its totient is φ = 6629376.

The previous prime is 14728039. The next prime is 14728093. The reversal of 14728064 is 46082741.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 14728064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88109 + ... + 88275.

Almost surely, 2^14728064 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 14728064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16193520).

14728064 is an abundant number, since it is smaller than the sum of its proper divisors (17658976).

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

14728064 is a wasteful number, since it uses less digits than its factorization.

14728064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 14728064 is about 3837.7159874071. The cubic root of 14728064 is about 245.1217720355.

The spelling of 14728064 in words is "fourteen million, seven hundred twenty-eight thousand, sixty-four".