199985328 has 80 divisors (see below), whose sum is σ = 583519200. Its totient is φ = 65560320.

The previous prime is 199985323. The next prime is 199985347. The reversal of 199985328 is 823589991.

199985328 is a `hidden beast` number, since 19 + 9 + 98 + 532 + 8 = 666.

199985328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (199985323) 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, 22558 + ... + 30146.

It is an arithmetic number, because the mean of its divisors is an integer number (7293990).

Almost surely, 2^199985328 is an apocalyptic number.

199985328 is a gapful number since it is divisible by the number (18) 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 199985328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291759600).

199985328 is an abundant number, since it is smaller than the sum of its proper divisors (383533872).

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

199985328 is a wasteful number, since it uses less digits than its factorization.

199985328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7667 (or 7655 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 54.

The square root of 199985328 is about 14141.6168806824. The cubic root of 199985328 is about 584.7892468968.

The spelling of 199985328 in words is "one hundred ninety-nine million, nine hundred eighty-five thousand, three hundred twenty-eight".