199950528 has 112 divisors (see below), whose sum is σ = 566928000. Its totient is φ = 62005248.

The previous prime is 199950493. The next prime is 199950529. The reversal of 199950528 is 825059991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (199950529) 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 15 ways as a sum of consecutive naturals, for example, 214768 + ... + 215696.

Almost surely, 2^199950528 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 199950528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283464000).

199950528 is an abundant number, since it is smaller than the sum of its proper divisors (366977472).

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

199950528 is a wasteful number, since it uses less digits than its factorization.

199950528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 48.

The square root of 199950528 is about 14140.3864162193. The cubic root of 199950528 is about 584.7553246644.

The spelling of 199950528 in words is "one hundred ninety-nine million, nine hundred fifty thousand, five hundred twenty-eight".