13081728 has 128 divisors (see below), whose sum is σ = 40147200. Its totient is φ = 3732480.

The previous prime is 13081727. The next prime is 13081729. The reversal of 13081728 is 82718031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13081727) and next prime (13081729).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×13081728² = 342263214931968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13081695 and 13081704.

It is not an unprimeable number, because it can be changed into a prime (13081727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80175 + ... + 80337.

It is an arithmetic number, because the mean of its divisors is an integer number (313650).

Almost surely, 2^13081728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13081728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20073600).

13081728 is an abundant number, since it is smaller than the sum of its proper divisors (27065472).

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

13081728 is a wasteful number, since it uses less digits than its factorization.

13081728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 13081728 is about 3616.8671526613. The cubic root of 13081728 is about 235.6251830613.

Adding to 13081728 its reverse (82718031), we get a palindrome (95799759).

The spelling of 13081728 in words is "thirteen million, eighty-one thousand, seven hundred twenty-eight".