14528400 has 60 divisors (see below), whose sum is σ = 46543152. Its totient is φ = 3873920.

The previous prime is 14528399. The next prime is 14528401. The reversal of 14528400 is 482541.

It is an interprime number because it is at equal distance from previous prime (14528399) and next prime (14528401).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×14528400² = 422148813120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14528401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4854 + ... + 7253.

Almost surely, 2^14528400 is an apocalyptic number.

14528400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14528400 is an abundant number, since it is smaller than the sum of its proper divisors (32014752).

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

14528400 is a wasteful number, since it uses less digits than its factorization.

14528400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12128 (or 12117 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 14528400 is about 3811.6138314368. The cubic root of 14528400 is about 244.0090474115.

The spelling of 14528400 in words is "fourteen million, five hundred twenty-eight thousand, four hundred".