13628475 has 72 divisors (see below), whose sum is σ = 29596320. Its totient is φ = 5852160.

The previous prime is 13628471. The next prime is 13628507. The reversal of 13628475 is 57482631.

It is not a de Polignac number, because 13628475 - 2² = 13628471 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13628471) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26521 + ... + 27029.

It is an arithmetic number, because the mean of its divisors is an integer number (411060).

Almost surely, 2^13628475 is an apocalyptic number.

13628475 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13628475 is an abundant number, since it is smaller than the sum of its proper divisors (15967845).

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

13628475 is a wasteful number, since it uses less digits than its factorization.

13628475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 541 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 13628475 is about 3691.6764484445. The cubic root of 13628475 is about 238.8631126165.

The spelling of 13628475 in words is "thirteen million, six hundred twenty-eight thousand, four hundred seventy-five".