14807628 has 72 divisors (see below), whose sum is σ = 41570256. Its totient is φ = 4406400.

The previous prime is 14807621. The next prime is 14807641. The reversal of 14807628 is 82670841.

14807628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14807592 and 14807601.

It is not an unprimeable number, because it can be changed into a prime (14807621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23850 + ... + 24462.

Almost surely, 2^14807628 is an apocalyptic number.

14807628 is a gapful number since it is divisible by the number (18) 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 14807628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20785128).

14807628 is an abundant number, since it is smaller than the sum of its proper divisors (26762628).

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

14807628 is a wasteful number, since it uses less digits than its factorization.

14807628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 14807628 is about 3848.0680867157. The cubic root of 14807628 is about 245.5623788074.

The spelling of 14807628 in words is "fourteen million, eight hundred seven thousand, six hundred twenty-eight".