199772928 has 108 divisors (see below), whose sum is σ = 594787648. Its totient is φ = 64419840.

The previous prime is 199772927. The next prime is 199772941. The reversal of 199772928 is 829277991.

It is not an unprimeable number, because it can be changed into a prime (199772921) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 70026 + ... + 72822.

Almost surely, 2^199772928 is an apocalyptic number.

199772928 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 199772928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297393824).

199772928 is an abundant number, since it is smaller than the sum of its proper divisors (395014720).

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

199772928 is a wasteful number, since it uses less digits than its factorization.

199772928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2833 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 54.

The square root of 199772928 is about 14134.1051361591. The cubic root of 199772928 is about 584.5821429781.

The spelling of 199772928 in words is "one hundred ninety-nine million, seven hundred seventy-two thousand, nine hundred twenty-eight".