14528064 has 56 divisors (see below), whose sum is σ = 40709088. Its totient is φ = 4556800.

The previous prime is 14528053. The next prime is 14528069. The reversal of 14528064 is 46082541.

14528064 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14528064² = 422129287176192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14528069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1039 + ... + 5489.

It is an arithmetic number, because the mean of its divisors is an integer number (726948).

Almost surely, 2^14528064 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 14528064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20354544).

14528064 is an abundant number, since it is smaller than the sum of its proper divisors (26181024).

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

14528064 is a wasteful number, since it uses less digits than its factorization.

14528064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4483 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 14528064 is about 3811.5697553633. The cubic root of 14528064 is about 244.0071663218.

The spelling of 14528064 in words is "fourteen million, five hundred twenty-eight thousand, sixty-four".