198828000 has 384 divisors, whose sum is σ = 830269440. Its totient is φ = 45273600.

The previous prime is 198827999. The next prime is 198828037. The reversal of 198828000 is 828891.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 755869 + ... + 756131.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160).

Almost surely, 2^198828000 is an apocalyptic number.

198828000 is a gapful number since it is divisible by the number (10) 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 198828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415134720).

198828000 is an abundant number, since it is smaller than the sum of its proper divisors (631441440).

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

198828000 is a wasteful number, since it uses less digits than its factorization.

198828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 280 counting only the distinct ones).

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

The square root of 198828000 is about 14100.6382834253. The cubic root of 198828000 is about 583.6589927624.

The spelling of 198828000 in words is "one hundred ninety-eight million, eight hundred twenty-eight thousand".