14528768 has 72 divisors (see below), whose sum is σ = 31886400. Its totient is φ = 6580224.

The previous prime is 14528747. The next prime is 14528771. The reversal of 14528768 is 86782541.

It is a super-2 number, since 2×14528768² = 422170199195648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

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, 141005 + ... + 141107.

Almost surely, 2^14528768 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 14528768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15943200).

14528768 is an abundant number, since it is smaller than the sum of its proper divisors (17357632).

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

14528768 is a wasteful number, since it uses less digits than its factorization.

14528768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 153 counting only the distinct ones).

The product of its digits is 107520, while the sum is 41.

The square root of 14528768 is about 3811.6621046467. The cubic root of 14528768 is about 244.0111076194.

The spelling of 14528768 in words is "fourteen million, five hundred twenty-eight thousand, seven hundred sixty-eight".