199835328 has 168 divisors, whose sum is σ = 671315904. Its totient is φ = 51878400.

The previous prime is 199835303. The next prime is 199835333. The reversal of 199835328 is 823538991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102523 + ... + 104453.

It is an arithmetic number, because the mean of its divisors is an integer number (3995928).

Almost surely, 2^199835328 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 199835328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335657952).

199835328 is an abundant number, since it is smaller than the sum of its proper divisors (471480576).

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

199835328 is a wasteful number, since it uses less digits than its factorization.

199835328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1954 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 199835328 is about 14136.3123904362. The cubic root of 199835328 is about 584.6430022893.

The spelling of 199835328 in words is "one hundred ninety-nine million, eight hundred thirty-five thousand, three hundred twenty-eight".