199688328 has 240 divisors, whose sum is σ = 686941200. Its totient is φ = 53887680.

The previous prime is 199688311. The next prime is 199688351. The reversal of 199688328 is 823886991.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 603123 + ... + 603453.

It is an arithmetic number, because the mean of its divisors is an integer number (2862255).

Almost surely, 2^199688328 is an apocalyptic number.

199688328 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 199688328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343470600).

199688328 is an abundant number, since it is smaller than the sum of its proper divisors (487252872).

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

199688328 is a wasteful number, since it uses less digits than its factorization.

199688328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 362 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 199688328 is about 14131.1120581503. The cubic root of 199688328 is about 584.4996115551.

The spelling of 199688328 in words is "one hundred ninety-nine million, six hundred eighty-eight thousand, three hundred twenty-eight".