13036928 has 32 divisors (see below), whose sum is σ = 26163000. Its totient is φ = 6470656.

The previous prime is 13036901. The next prime is 13036939. The reversal of 13036928 is 82963031.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×13036928² = 339922983354368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 13036894 and 13036903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22628 + ... + 23196.

Almost surely, 2^13036928 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 13036928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13081500).

13036928 is an abundant number, since it is smaller than the sum of its proper divisors (13126072).

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

13036928 is an equidigital number, since it uses as much as digits as its factorization.

13036928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 13036928 is about 3610.6686361393. The cubic root of 13036928 is about 235.3558995410.

Adding to 13036928 its reverse (82963031), we get a palindrome (95999959).

The spelling of 13036928 in words is "thirteen million, thirty-six thousand, nine hundred twenty-eight".