199928320 has 80 divisors (see below), whose sum is σ = 496073160. Its totient is φ = 77185024.

The previous prime is 199928297. The next prime is 199928327. The reversal of 199928320 is 23829991.

It can be written as a sum of positive squares in 4 ways, for example, as 154554624 + 45373696 = 12432^2 + 6736^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (199928327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72894 + ... + 75586.

Almost surely, 2^199928320 is an apocalyptic number.

199928320 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 199928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248036580).

199928320 is an abundant number, since it is smaller than the sum of its proper divisors (296144840).

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

199928320 is an equidigital number, since it uses as much as digits as its factorization.

199928320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The square root of 199928320 is about 14139.6011259158. The cubic root of 199928320 is about 584.7336747639.

The spelling of 199928320 in words is "one hundred ninety-nine million, nine hundred twenty-eight thousand, three hundred twenty".