852288624 has 120 divisors (see below), whose sum is σ = 2739110400. Its totient is φ = 244667520.

The previous prime is 852288623. The next prime is 852288629. The reversal of 852288624 is 426882258.

It is a self number, because there is not a number n which added to its sum of digits gives 852288624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852288623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15937 + ... + 44255.

It is an arithmetic number, because the mean of its divisors is an integer number (22825920).

Almost surely, 2^852288624 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 852288624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369555200).

852288624 is an abundant number, since it is smaller than the sum of its proper divisors (1886821776).

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

852288624 is a wasteful number, since it uses less digits than its factorization.

852288624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28363 (or 28354 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 852288624 is about 29193.9826676663. The cubic root of 852288624 is about 948.1176481668.

The spelling of 852288624 in words is "eight hundred fifty-two million, two hundred eighty-eight thousand, six hundred twenty-four".