12828375 has 80 divisors (see below), whose sum is σ = 27483456. Its totient is φ = 5832000.

The previous prime is 12828331. The next prime is 12828377. The reversal of 12828375 is 57382821.

12828375 is a `hidden beast` number, since 1 + 282 + 8 + 375 = 666.

It is not a de Polignac number, because 12828375 - 2⁸ = 12828119 is a prime.

It is a super-3 number, since 3×12828375³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12828377) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 70785 + ... + 70965.

Almost surely, 2^12828375 is an apocalyptic number.

12828375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12828375 is an abundant number, since it is smaller than the sum of its proper divisors (14655081).

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

12828375 is an equidigital number, since it uses as much as digits as its factorization.

12828375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 196 counting only the distinct ones).

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

The square root of 12828375 is about 3581.6720955442. The cubic root of 12828375 is about 234.0941435784.

It can be divided in two parts, 12828 and 375, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 12828375 in words is "twelve million, eight hundred twenty-eight thousand, three hundred seventy-five".