14628420 has 72 divisors (see below), whose sum is σ = 44717400. Its totient is φ = 3870720.

The previous prime is 14628413. The next prime is 14628433. The reversal of 14628420 is 2482641.

14628420 is a `hidden beast` number, since 14 + 628 + 4 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 14607684 = 144^2 + 3822^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32356 + ... + 32804.

It is an arithmetic number, because the mean of its divisors is an integer number (621075).

Almost surely, 2^14628420 is an apocalyptic number.

14628420 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 14628420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22358700).

14628420 is an abundant number, since it is smaller than the sum of its proper divisors (30088980).

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

14628420 is a wasteful number, since it uses less digits than its factorization.

14628420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 14628420 is about 3824.7117538450. The cubic root of 14628420 is about 244.5677230945.

The spelling of 14628420 in words is "fourteen million, six hundred twenty-eight thousand, four hundred twenty".