985828000 has 96 divisors (see below), whose sum is σ = 2488017168. Its totient is φ = 383616000.

The previous prime is 985827979. The next prime is 985828013. The reversal of 985828000 is 828589.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 387144976 + 598683024 = 19676^2 + 24468^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144670 + ... + 151330.

Almost surely, 2^985828000 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 985828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244008584).

985828000 is an abundant number, since it is smaller than the sum of its proper divisors (1502189168).

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

985828000 is a wasteful number, since it uses less digits than its factorization.

985828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6723 (or 6705 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The square root of 985828000 is about 31397.8980188165. The cubic root of 985828000 is about 995.2535064438.

The spelling of 985828000 in words is "nine hundred eighty-five million, eight hundred twenty-eight thousand".