981828000 has 192 divisors, whose sum is σ = 3574247040. Its totient is φ = 261792000.

The previous prime is 981827989. The next prime is 981828007. The reversal of 981828000 is 828189.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (981828007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103455 + ... + 112545.

It is an arithmetic number, because the mean of its divisors is an integer number (18615870).

Almost surely, 2^981828000 is an apocalyptic number.

981828000 is a gapful number since it is divisible by the number (90) 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 981828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787123520).

981828000 is an abundant number, since it is smaller than the sum of its proper divisors (2592419040).

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

981828000 is a wasteful number, since it uses less digits than its factorization.

981828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9125 (or 9101 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 981828000 is about 31334.1347415243. The cubic root of 981828000 is about 993.9056004125.

The spelling of 981828000 in words is "nine hundred eighty-one million, eight hundred twenty-eight thousand".