14628032 has 56 divisors (see below), whose sum is σ = 30675072. Its totient is φ = 6912000.

The previous prime is 14628011. The next prime is 14628037. The reversal of 14628032 is 23082641.

14628032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14627992 and 14628010.

It is not an unprimeable number, because it can be changed into a prime (14628037) 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, 144782 + ... + 144882.

Almost surely, 2^14628032 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 14628032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15337536).

14628032 is an abundant number, since it is smaller than the sum of its proper divisors (16047040).

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

14628032 is a wasteful number, since it uses less digits than its factorization.

14628032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 14628032 is about 3824.6610307320. The cubic root of 14628032 is about 244.5655607940.

The spelling of 14628032 in words is "fourteen million, six hundred twenty-eight thousand, thirty-two".