13575828 has 48 divisors (see below), whose sum is σ = 37457280. Its totient is φ = 3744384.

The previous prime is 13575817. The next prime is 13575833. The reversal of 13575828 is 82857531.

13575828 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351 + ... + 5222.

It is an arithmetic number, because the mean of its divisors is an integer number (780360).

Almost surely, 2^13575828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13575828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18728640).

13575828 is an abundant number, since it is smaller than the sum of its proper divisors (23881452).

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

13575828 is a wasteful number, since it uses less digits than its factorization.

13575828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5616 (or 5614 counting only the distinct ones).

The product of its digits is 67200, while the sum is 39.

The square root of 13575828 is about 3684.5390485107. The cubic root of 13575828 is about 238.5551384631. Note that the first 3 decimals are identical.

The spelling of 13575828 in words is "thirteen million, five hundred seventy-five thousand, eight hundred twenty-eight".