14528800 has 144 divisors (see below), whose sum is σ = 41997312. Its totient is φ = 4838400.

The previous prime is 14528783. The next prime is 14528803. The reversal of 14528800 is 882541.

It is a super-2 number, since 2×14528800² = 422172058880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14528803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114337 + ... + 114463.

It is an arithmetic number, because the mean of its divisors is an integer number (291648).

Almost surely, 2^14528800 is an apocalyptic number.

14528800 is a gapful number since it is divisible by the number (10) 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 14528800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20998656).

14528800 is an abundant number, since it is smaller than the sum of its proper divisors (27468512).

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

14528800 is a wasteful number, since it uses less digits than its factorization.

14528800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 14528800 is about 3811.6663022883. Note that the first 3 decimals coincide. The cubic root of 14528800 is about 244.0112867663.

The spelling of 14528800 in words is "fourteen million, five hundred twenty-eight thousand, eight hundred".