827832348 has 72 divisors (see below), whose sum is σ = 2398660992. Its totient is φ = 235816992.

The previous prime is 827832331. The next prime is 827832359. The reversal of 827832348 is 843238728.

827832348 is a `hidden beast` number, since 8 + 278 + 32 + 348 = 666.

827832348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 82711 + ... + 92177.

It is an arithmetic number, because the mean of its divisors is an integer number (33314736).

Almost surely, 2^827832348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827832348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199330496).

827832348 is an abundant number, since it is smaller than the sum of its proper divisors (1570828644).

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

827832348 is a wasteful number, since it uses less digits than its factorization.

827832348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9831 (or 9826 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 827832348 is about 28772.0758375200. The cubic root of 827832348 is about 938.9608056942.

The spelling of 827832348 in words is "eight hundred twenty-seven million, eight hundred thirty-two thousand, three hundred forty-eight".