13728348 has 18 divisors (see below), whose sum is σ = 34702304. Its totient is φ = 4576104.

The previous prime is 13728343. The next prime is 13728353. The reversal of 13728348 is 84382731.

It is an interprime number because it is at equal distance from previous prime (13728343) and next prime (13728353).

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 381343 = 13728348 / (1 + 3 + 7 + 2 + 8 + 3 + 4 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13728343) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 190636 + ... + 190707.

Almost surely, 2^13728348 is an apocalyptic number.

13728348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13728348 is an abundant number, since it is smaller than the sum of its proper divisors (20973956).

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

13728348 is a wasteful number, since it uses less digits than its factorization.

13728348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381353 (or 381348 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 13728348 is about 3705.1785382084. The cubic root of 13728348 is about 239.4451767013.

The spelling of 13728348 in words is "thirteen million, seven hundred twenty-eight thousand, three hundred forty-eight".