14628480 has 128 divisors (see below), whose sum is σ = 49204800. Its totient is φ = 3686400.

The previous prime is 14628469. The next prime is 14628511. The reversal of 14628480 is 8482641.

14628480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×14628480² = 427984854220800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36280 + ... + 36680.

Almost surely, 2^14628480 is an apocalyptic number.

14628480 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 14628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24602400).

14628480 is an abundant number, since it is smaller than the sum of its proper divisors (34576320).

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

14628480 is a wasteful number, since it uses less digits than its factorization.

14628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 14628480 is about 3824.7195975653. The cubic root of 14628480 is about 244.5680574674.

The spelling of 14628480 in words is "fourteen million, six hundred twenty-eight thousand, four hundred eighty".