852711228 has 72 divisors (see below), whose sum is σ = 2286228672. Its totient is φ = 267052032.

The previous prime is 852711217. The next prime is 852711259. The reversal of 852711228 is 822117258.

852711228 is a `hidden beast` number, since 8 + 527 + 1 + 122 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 852711192 and 852711201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572701 + ... + 574187.

It is an arithmetic number, because the mean of its divisors is an integer number (31753176).

Almost surely, 2^852711228 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 852711228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143114336).

852711228 is an abundant number, since it is smaller than the sum of its proper divisors (1433517444).

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

852711228 is a wasteful number, since it uses less digits than its factorization.

852711228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2446 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 852711228 is about 29201.2196320633. The cubic root of 852711228 is about 948.2743290894.

The spelling of 852711228 in words is "eight hundred fifty-two million, seven hundred eleven thousand, two hundred twenty-eight".