14628416 has 42 divisors (see below), whose sum is σ = 31923990. Its totient is φ = 6645760.

The previous prime is 14628413. The next prime is 14628433. The reversal of 14628416 is 61482641.

14628416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12390400 + 2238016 = 3520^2 + 1496^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (14628413) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6800 + ... + 8688.

It is an arithmetic number, because the mean of its divisors is an integer number (760095).

Almost surely, 2^14628416 is an apocalyptic number.

14628416 is a gapful number since it is divisible by the number (16) 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 14628416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15961995).

14628416 is an abundant number, since it is smaller than the sum of its proper divisors (17295574).

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

14628416 is a wasteful number, since it uses less digits than its factorization.

14628416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1902 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 14628416 is about 3824.7112309297. The cubic root of 14628416 is about 244.5677008029.

The spelling of 14628416 in words is "fourteen million, six hundred twenty-eight thousand, four hundred sixteen".