13036728 has 64 divisors (see below), whose sum is σ = 34227360. Its totient is φ = 4133376.

The previous prime is 13036721. The next prime is 13036757. The reversal of 13036728 is 82763031.

It is a junction number, because it is equal to n+sod(n) for n = 13036695 and 13036704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13036721) 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 15 ways as a sum of consecutive naturals, for example, 46926 + ... + 47202.

Almost surely, 2^13036728 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 13036728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17113680).

13036728 is an abundant number, since it is smaller than the sum of its proper divisors (21190632).

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

13036728 is a wasteful number, since it uses less digits than its factorization.

13036728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 13036728 is about 3610.6409403318. The cubic root of 13036728 is about 235.3546960003.

Adding to 13036728 its reverse (82763031), we get a palindrome (95799759).

The spelling of 13036728 in words is "thirteen million, thirty-six thousand, seven hundred twenty-eight".