13628142 has 32 divisors (see below), whose sum is σ = 33039360. Its totient is φ = 4129560.

The previous prime is 13628137. The next prime is 13628171. The reversal of 13628142 is 24182631.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10878 + ... + 12065.

It is an arithmetic number, because the mean of its divisors is an integer number (1032480).

Almost surely, 2^13628142 is an apocalyptic number.

13628142 is an abundant number, since it is smaller than the sum of its proper divisors (19411218).

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

13628142 is a wasteful number, since it uses less digits than its factorization.

13628142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22965 (or 22959 counting only the distinct ones).

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

The square root of 13628142 is about 3691.6313467084. The cubic root of 13628142 is about 238.8611671295.

The spelling of 13628142 in words is "thirteen million, six hundred twenty-eight thousand, one hundred forty-two".