13728310 has 16 divisors (see below), whose sum is σ = 25563600. Its totient is φ = 5301856.

The previous prime is 13728301. The next prime is 13728329. The reversal of 13728310 is 1382731.

It is a super-2 number, since 2×13728310² = 376932990912200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 23380 + ... + 23959.

It is an arithmetic number, because the mean of its divisors is an integer number (1597725).

Almost surely, 2^13728310 is an apocalyptic number.

13728310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13728310 is a deficient number, since it is larger than the sum of its proper divisors (11835290).

13728310 is a wasteful number, since it uses less digits than its factorization.

13728310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47375.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 13728310 is about 3705.1734102468. The cubic root of 13728310 is about 239.4449557734. Note that the first 3 decimals are identical.

The spelling of 13728310 in words is "thirteen million, seven hundred twenty-eight thousand, three hundred ten".