14213628 has 108 divisors (see below), whose sum is σ = 42699384. Its totient is φ = 3960000.

The previous prime is 14213627. The next prime is 14213657. The reversal of 14213628 is 82631241.

14213628 is a `hidden beast` number, since 14 + 21 + 3 + 628 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14213621) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56503 + ... + 56753.

Almost surely, 2^14213628 is an apocalyptic number.

14213628 is a gapful number since it is divisible by the number (18) 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 14213628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21349692).

14213628 is an abundant number, since it is smaller than the sum of its proper divisors (28485756).

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

14213628 is a wasteful number, since it uses less digits than its factorization.

14213628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 280 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 14213628 is about 3770.0965504878. The cubic root of 14213628 is about 242.2339335707.

Adding to 14213628 its reverse (82631241), we get a palindrome (96844869).

It can be divided in two parts, 14213 and 628, that added together give a palindrome (14841).

The spelling of 14213628 in words is "fourteen million, two hundred thirteen thousand, six hundred twenty-eight".