852726528 has 360 divisors, whose sum is σ = 2804654160. Its totient is φ = 256573440.

The previous prime is 852726521. The next prime is 852726529. The reversal of 852726528 is 825627258.

852726528 is a `hidden beast` number, since 8 + 52 + 72 + 6 + 528 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852726521) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14452963 + ... + 14453021.

It is an arithmetic number, because the mean of its divisors is an integer number (7790706).

Almost surely, 2^852726528 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 852726528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402327080).

852726528 is an abundant number, since it is smaller than the sum of its proper divisors (1951927632).

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

852726528 is a wasteful number, since it uses less digits than its factorization.

852726528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 122 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 852726528 is about 29201.4816062473. The cubic root of 852726528 is about 948.2800006111.

The spelling of 852726528 in words is "eight hundred fifty-two million, seven hundred twenty-six thousand, five hundred twenty-eight".