272835828 has 36 divisors (see below), whose sum is σ = 713452740. Its totient is φ = 87808896.

The previous prime is 272835811. The next prime is 272835833. The reversal of 272835828 is 828538272.

272835828 is a `hidden beast` number, since 272 + 8 + 358 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75377124 + 197458704 = 8682^2 + 14052^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129625 + ... + 131712.

Almost surely, 2^272835828 is an apocalyptic number.

It is an amenable number.

272835828 is an abundant number, since it is smaller than the sum of its proper divisors (440616912).

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

272835828 is a wasteful number, since it uses less digits than its factorization.

272835828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261376 (or 261371 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 272835828 is about 16517.7428240059. The cubic root of 272835828 is about 648.5853478594.

The spelling of 272835828 in words is "two hundred seventy-two million, eight hundred thirty-five thousand, eight hundred twenty-eight".