13214628 has 72 divisors (see below), whose sum is σ = 39137280. Its totient is φ = 3680640.

The previous prime is 13214623. The next prime is 13214639. The reversal of 13214628 is 82641231.

13214628 is a `hidden beast` number, since 1 + 32 + 1 + 4 + 628 = 666.

It is not an unprimeable number, because it can be changed into a prime (13214623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9693 + ... + 10971.

Almost surely, 2^13214628 is an apocalyptic number.

13214628 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 13214628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19568640).

13214628 is an abundant number, since it is smaller than the sum of its proper divisors (25922652).

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

13214628 is a wasteful number, since it uses less digits than its factorization.

13214628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1332 counting only the distinct ones).

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

The square root of 13214628 is about 3635.1929797467. The cubic root of 13214628 is about 236.4204178986.

Adding to 13214628 its reverse (82641231), we get a palindrome (95855859).

The spelling of 13214628 in words is "thirteen million, two hundred fourteen thousand, six hundred twenty-eight".