199971328 has 80 divisors (see below), whose sum is σ = 423472896. Its totient is φ = 94187520.

The previous prime is 199971313. The next prime is 199971329. The reversal of 199971328 is 823179991.

It is not an unprimeable number, because it can be changed into a prime (199971329) 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, 682350 + ... + 682642.

Almost surely, 2^199971328 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 199971328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211736448).

199971328 is an abundant number, since it is smaller than the sum of its proper divisors (223501568).

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

199971328 is an equidigital number, since it uses as much as digits as its factorization.

199971328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 369 counting only the distinct ones).

The product of its digits is 244944, while the sum is 49.

The square root of 199971328 is about 14141.1218791155. The cubic root of 199971328 is about 584.7756004948.

The spelling of 199971328 in words is "one hundred ninety-nine million, nine hundred seventy-one thousand, three hundred twenty-eight".