14728320 has 96 divisors (see below), whose sum is σ = 50878620. Its totient is φ = 3926016.

The previous prime is 14728313. The next prime is 14728321. The reversal of 14728320 is 2382741.

It can be written as a sum of positive squares in 2 ways, for example, as 14561856 + 166464 = 3816^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (14728321) 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, 4482 + ... + 7038.

Almost surely, 2^14728320 is an apocalyptic number.

14728320 is a gapful number since it is divisible by the number (10) 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 14728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25439310).

14728320 is an abundant number, since it is smaller than the sum of its proper divisors (36150300).

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

14728320 is a wasteful number, since it uses less digits than its factorization.

14728320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 14728320 is about 3837.7493404338. The cubic root of 14728320 is about 245.1231922451.

The spelling of 14728320 in words is "fourteen million, seven hundred twenty-eight thousand, three hundred twenty".