13582128 has 40 divisors (see below), whose sum is σ = 40100608. Its totient is φ = 3880512.

The previous prime is 13582117. The next prime is 13582147. The reversal of 13582128 is 82128531.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 13582095 and 13582104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19876 + ... + 20547.

Almost surely, 2^13582128 is an apocalyptic number.

It is an amenable number.

13582128 is an abundant number, since it is smaller than the sum of its proper divisors (26518480).

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

13582128 is a wasteful number, since it uses less digits than its factorization.

13582128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40441 (or 40435 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 13582128 is about 3685.3938731159. The cubic root of 13582128 is about 238.5920340630.

It can be divided in two parts, 1358 and 2128, that added together give a triangular number (3486 = T₈₃).

The spelling of 13582128 in words is "thirteen million, five hundred eighty-two thousand, one hundred twenty-eight".