12728535 has 24 divisors (see below), whose sum is σ = 21113040. Its totient is φ = 6547968.

The previous prime is 12728519. The next prime is 12728539. The reversal of 12728535 is 53582721.

12728535 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

12728535 is a nontrivial binomial coefficient, being equal to C(5046, 2).

It is not a de Polignac number, because 12728535 - 2⁴ = 12728519 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12728496 and 12728505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12728539) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12111 + ... + 13119.

It is an arithmetic number, because the mean of its divisors is an integer number (879710).

Almost surely, 2^12728535 is an apocalyptic number.

12728535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12728535 is the 5045-th triangular number and also the 2523-rd hexagonal number.

12728535 is a deficient number, since it is larger than the sum of its proper divisors (8384505).

12728535 is a wasteful number, since it uses less digits than its factorization.

12728535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1046 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 12728535 is about 3567.7072469585. The cubic root of 12728535 is about 233.4852627314.

The spelling of 12728535 in words is "twelve million, seven hundred twenty-eight thousand, five hundred thirty-five".