13728410 has 16 divisors (see below), whose sum is σ = 24967656. Its totient is φ = 5434368.

The previous prime is 13728409. The next prime is 13728419. The reversal of 13728410 is 1482731.

It can be written as a sum of positive squares in 4 ways, for example, as 9991921 + 3736489 = 3161^2 + 1933^2 .

It is a super-2 number, since 2×13728410² = 376938482256200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13728410.

It is not an unprimeable number, because it can be changed into a prime (13728419) 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 7 ways as a sum of consecutive naturals, for example, 6107 + ... + 8046.

Almost surely, 2^13728410 is an apocalyptic number.

13728410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13728410 is a deficient number, since it is larger than the sum of its proper divisors (11239246).

13728410 is a wasteful number, since it uses less digits than its factorization.

13728410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14257.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 13728410 is about 3705.1869048673. The cubic root of 13728410 is about 239.4455371617.

The spelling of 13728410 in words is "thirteen million, seven hundred twenty-eight thousand, four hundred ten".