14005628 has 48 divisors (see below), whose sum is σ = 30528960. Its totient is φ = 5474304.

The previous prime is 14005619. The next prime is 14005697. The reversal of 14005628 is 82650041.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 14005597 and 14005606.

It is a congruent number.

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, 39500 + ... + 39852.

It is an arithmetic number, because the mean of its divisors is an integer number (636020).

Almost surely, 2^14005628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14005628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15264480).

14005628 is an abundant number, since it is smaller than the sum of its proper divisors (16523332).

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

14005628 is a wasteful number, since it uses less digits than its factorization.

14005628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 14005628 is about 3742.4093843405. The cubic root of 14005628 is about 241.0465179972.

Adding to 14005628 its reverse (82650041), we get a palindrome (96655669).

The spelling of 14005628 in words is "fourteen million, five thousand, six hundred twenty-eight".