199928000 has 112 divisors (see below), whose sum is σ = 503858784. Its totient is φ = 78566400.

The previous prime is 199927999. The next prime is 199928017. The reversal of 199928000 is 829991.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535814 + ... + 536186.

Almost surely, 2^199928000 is an apocalyptic number.

199928000 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 199928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251929392).

199928000 is an abundant number, since it is smaller than the sum of its proper divisors (303930784).

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

199928000 is an equidigital number, since it uses as much as digits as its factorization.

199928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 38.

The square root of 199928000 is about 14139.5898101748. The cubic root of 199928000 is about 584.7333627940.

The spelling of 199928000 in words is "one hundred ninety-nine million, nine hundred twenty-eight thousand".