852707328 has 288 divisors, whose sum is σ = 2649104640. Its totient is φ = 243302400.

The previous prime is 852707281. The next prime is 852707341. The reversal of 852707328 is 823707258.

It is a self number, because there is not a number n which added to its sum of digits gives 852707328.

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, 23046126 + ... + 23046162.

It is an arithmetic number, because the mean of its divisors is an integer number (9198280).

Almost surely, 2^852707328 is an apocalyptic number.

852707328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852707328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324552320).

852707328 is an abundant number, since it is smaller than the sum of its proper divisors (1796397312).

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

852707328 is a wasteful number, since it uses less digits than its factorization.

852707328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 852707328 is about 29201.1528539542. The cubic root of 852707328 is about 948.2728833966.

The spelling of 852707328 in words is "eight hundred fifty-two million, seven hundred seven thousand, three hundred twenty-eight".