14628132 has 36 divisors (see below), whose sum is σ = 37114896. Its totient is φ = 4857840.

The previous prime is 14628121. The next prime is 14628137. The reversal of 14628132 is 23182641.

14628132 is a `hidden beast` number, since 1 + 4 + 628 + 1 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 14628096 and 14628105.

It is not an unprimeable number, because it can be changed into a prime (14628137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11907 + ... + 13077.

Almost surely, 2^14628132 is an apocalyptic number.

14628132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

14628132 is the 3123-rd pentagonal number.

It is an amenable number.

14628132 is an abundant number, since it is smaller than the sum of its proper divisors (22486764).

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

14628132 is a wasteful number, since it uses less digits than its factorization.

14628132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1523 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 14628132 is about 3824.6741037636. The cubic root of 14628132 is about 244.5661180916.

The spelling of 14628132 in words is "fourteen million, six hundred twenty-eight thousand, one hundred thirty-two".