13628148 has 24 divisors (see below), whose sum is σ = 31919328. Its totient is φ = 4525536.

The previous prime is 13628137. The next prime is 13628171. The reversal of 13628148 is 84182631.

It is a super-3 number, since 3×13628148³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

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, 1390 + ... + 5402.

It is an arithmetic number, because the mean of its divisors is an integer number (1329972).

Almost surely, 2^13628148 is an apocalyptic number.

It is an amenable number.

13628148 is an abundant number, since it is smaller than the sum of its proper divisors (18291180).

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

13628148 is a wasteful number, since it uses less digits than its factorization.

13628148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4303 (or 4301 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 13628148 is about 3691.6321593572. The cubic root of 13628148 is about 238.8612021836.

The spelling of 13628148 in words is "thirteen million, six hundred twenty-eight thousand, one hundred forty-eight".