199828512 has 96 divisors (see below), whose sum is σ = 627701760. Its totient is φ = 61482240.

The previous prime is 199828507. The next prime is 199828543. The reversal of 199828512 is 215828991.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 2337 + ... + 20127.

It is an arithmetic number, because the mean of its divisors is an integer number (6538560).

Almost surely, 2^199828512 is an apocalyptic number.

199828512 is a gapful number since it is divisible by the number (12) 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 199828512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313850880).

199828512 is an abundant number, since it is smaller than the sum of its proper divisors (427873248).

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

199828512 is a wasteful number, since it uses less digits than its factorization.

199828512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17823 (or 17809 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The square root of 199828512 is about 14136.0713071207. The cubic root of 199828512 is about 584.6363551963.

The spelling of 199828512 in words is "one hundred ninety-nine million, eight hundred twenty-eight thousand, five hundred twelve".