852245628 has 72 divisors (see below), whose sum is σ = 2175766992. Its totient is φ = 258103296.

The previous prime is 852245599. The next prime is 852245633. The reversal of 852245628 is 826542258.

It is a super-2 number, since 2×852245628² = 1452645220890228768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 852245628.

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, 699676 + ... + 700892.

It is an arithmetic number, because the mean of its divisors is an integer number (30218986).

Almost surely, 2^852245628 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 852245628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087883496).

852245628 is an abundant number, since it is smaller than the sum of its proper divisors (1323521364).

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

852245628 is a wasteful number, since it uses less digits than its factorization.

852245628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1302 counting only the distinct ones).

The product of its digits is 307200, while the sum is 42.

The square root of 852245628 is about 29193.2462737531. The cubic root of 852245628 is about 948.1017044474.

The spelling of 852245628 in words is "eight hundred fifty-two million, two hundred forty-five thousand, six hundred twenty-eight".