12828735 has 24 divisors (see below), whose sum is σ = 22473360. Its totient is φ = 6769152.

The previous prime is 12828721. The next prime is 12828757. The reversal of 12828735 is 53782821.

12828735 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12828735 - 2⁴ = 12828719 is a prime.

It is a super-3 number, since 3×12828735³ (a number of 22 digits) contains 333 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 12828735.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2896 + ... + 5834.

It is an arithmetic number, because the mean of its divisors is an integer number (936390).

Almost surely, 2^12828735 is an apocalyptic number.

12828735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12828735 is a deficient number, since it is larger than the sum of its proper divisors (9644625).

12828735 is a wasteful number, since it uses less digits than its factorization.

12828735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3044 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 12828735 is about 3581.7223510484. The cubic root of 12828735 is about 234.0963333362.

The spelling of 12828735 in words is "twelve million, eight hundred twenty-eight thousand, seven hundred thirty-five".