191800128 has 168 divisors, whose sum is σ = 575633088. Its totient is φ = 56229888.

The previous prime is 191800121. The next prime is 191800177. The reversal of 191800128 is 821008191.

It is a junction number, because it is equal to n+sod(n) for n = 191800095 and 191800104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191800121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 746176 + ... + 746432.

Almost surely, 2^191800128 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 191800128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287816544).

191800128 is an abundant number, since it is smaller than the sum of its proper divisors (383832960).

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

191800128 is a wasteful number, since it uses less digits than its factorization.

191800128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

The square root of 191800128 is about 13849.1923230201. The cubic root of 191800128 is about 576.6995743785.

The spelling of 191800128 in words is "one hundred ninety-one million, eight hundred thousand, one hundred twenty-eight".