675135828 has 36 divisors (see below), whose sum is σ = 1729978068. Its totient is φ = 221961600.

The previous prime is 675135827. The next prime is 675135833. The reversal of 675135828 is 828531576.

675135828 is a `hidden beast` number, since 67 + 5 + 1 + 3 + 582 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 186814224 + 488321604 = 13668^2 + 22098^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675135823) 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 11 ways as a sum of consecutive naturals, for example, 125823 + ... + 131078.

Almost surely, 2^675135828 is an apocalyptic number.

It is an amenable number.

675135828 is an abundant number, since it is smaller than the sum of its proper divisors (1054842240).

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

675135828 is a wasteful number, since it uses less digits than its factorization.

675135828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256984 (or 256979 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 675135828 is about 25983.3759931230. The cubic root of 675135828 is about 877.2641565519.

It can be divided in two parts, 675 and 135828, that added together give a triangular number (136503 = T₅₂₂).

The spelling of 675135828 in words is "six hundred seventy-five million, one hundred thirty-five thousand, eight hundred twenty-eight".