12828135 has 48 divisors (see below), whose sum is σ = 22823424. Its totient is φ = 6139584.

The previous prime is 12828119. The next prime is 12828139. The reversal of 12828135 is 53182821.

It is not a de Polignac number, because 12828135 - 2⁴ = 12828119 is a prime.

It is a super-3 number, since 3×12828135³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12828139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124494 + ... + 124596.

It is an arithmetic number, because the mean of its divisors is an integer number (475488).

Almost surely, 2^12828135 is an apocalyptic number.

12828135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12828135 is a deficient number, since it is larger than the sum of its proper divisors (9995289).

12828135 is a wasteful number, since it uses less digits than its factorization.

12828135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 153 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 12828135 is about 3581.6385914830. The cubic root of 12828135 is about 234.0926837171.

The spelling of 12828135 in words is "twelve million, eight hundred twenty-eight thousand, one hundred thirty-five".