13428584 has 16 divisors (see below), whose sum is σ = 27115620. Its totient is φ = 6197760.

The previous prime is 13428563. The next prime is 13428617. The reversal of 13428584 is 48582431.

It can be written as a sum of positive squares in 2 ways, for example, as 12040900 + 1387684 = 3470^2 + 1178^2 .

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 3 ways as a sum of consecutive naturals, for example, 64457 + ... + 64664.

Almost surely, 2^13428584 is an apocalyptic number.

It is an amenable number.

13428584 is an abundant number, since it is smaller than the sum of its proper divisors (13687036).

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

13428584 is a wasteful number, since it uses less digits than its factorization.

13428584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129140 (or 129136 counting only the distinct ones).

The product of its digits is 30720, while the sum is 35.

The square root of 13428584 is about 3664.5032405498. The cubic root of 13428584 is about 237.6895417668.

The spelling of 13428584 in words is "thirteen million, four hundred twenty-eight thousand, five hundred eighty-four".