13028757 has 24 divisors (see below), whose sum is σ = 20344896. Its totient is φ = 7394688.

The previous prime is 13028731. The next prime is 13028761. The reversal of 13028757 is 75782031.

It is not a de Polignac number, because 13028757 - 2⁸ = 13028501 is a prime.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13028707) 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 23 ways as a sum of consecutive naturals, for example, 38493 + ... + 38829.

It is an arithmetic number, because the mean of its divisors is an integer number (847704).

Almost surely, 2^13028757 is an apocalyptic number.

It is an amenable number.

13028757 is a deficient number, since it is larger than the sum of its proper divisors (7316139).

13028757 is a wasteful number, since it uses less digits than its factorization.

13028757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 13028757 is about 3609.5369509121. The cubic root of 13028757 is about 235.3067188607.

The spelling of 13028757 in words is "thirteen million, twenty-eight thousand, seven hundred fifty-seven".