852885828 has 96 divisors (see below), whose sum is σ = 2267395200. Its totient is φ = 277152768.

The previous prime is 852885821. The next prime is 852885833. The reversal of 852885828 is 828588258.

852885828 is a `hidden beast` number, since 8 + 52 + 8 + 8 + 582 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (852885821) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 872476 + ... + 873452.

It is an arithmetic number, because the mean of its divisors is an integer number (23618700).

Almost surely, 2^852885828 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 852885828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133697600).

852885828 is an abundant number, since it is smaller than the sum of its proper divisors (1414509372).

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

852885828 is a wasteful number, since it uses less digits than its factorization.

852885828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1178 counting only the distinct ones).

The product of its digits is 3276800, while the sum is 54.

The square root of 852885828 is about 29204.2090801994. The cubic root of 852885828 is about 948.3390471297.

The spelling of 852885828 in words is "eight hundred fifty-two million, eight hundred eighty-five thousand, eight hundred twenty-eight".