14528801 has 32 divisors (see below), whose sum is σ = 18579456. Its totient is φ = 11088000.

The previous prime is 14528783. The next prime is 14528803. The reversal of 14528801 is 10882541.

14528801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14528801 - 2⁶ = 14528737 is a prime.

It is a super-2 number, since 2×14528801² = 422172116995202, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (14528803) 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, 204596 + ... + 204666.

It is an arithmetic number, because the mean of its divisors is an integer number (580608).

Almost surely, 2^14528801 is an apocalyptic number.

14528801 is the 2201-st octagonal number.

It is an amenable number.

14528801 is a deficient number, since it is larger than the sum of its proper divisors (4050655).

14528801 is a wasteful number, since it uses less digits than its factorization.

14528801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173.

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 14528801 is about 3811.6664334645. Note that the first 3 decimals coincide. The cubic root of 14528801 is about 244.0112923646.

The spelling of 14528801 in words is "fourteen million, five hundred twenty-eight thousand, eight hundred one".