852888000 has 112 divisors (see below), whose sum is σ = 2816315424. Its totient is φ = 227430400.

The previous prime is 852887969. The next prime is 852888007. The reversal of 852888000 is 888258.

It is a self number, because there is not a number n which added to its sum of digits gives 852888000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852888007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6232 + ... + 41768.

Almost surely, 2^852888000 is an apocalyptic number.

852888000 is a gapful number since it is divisible by the number (80) 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 852888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408157712).

852888000 is an abundant number, since it is smaller than the sum of its proper divisors (1963427424).

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

852888000 is a wasteful number, since it uses less digits than its factorization.

852888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35567 (or 35547 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The square root of 852888000 is about 29204.2462665962. The cubic root of 852888000 is about 948.3398521576.

The spelling of 852888000 in words is "eight hundred fifty-two million, eight hundred eighty-eight thousand".