191928192 has 128 divisors (see below), whose sum is σ = 549918720. Its totient is φ = 59136000.

The previous prime is 191928091. The next prime is 191928197. The reversal of 191928192 is 291829191.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191928197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273442 + ... + 274142.

It is an arithmetic number, because the mean of its divisors is an integer number (4296240).

Almost surely, 2^191928192 is an apocalyptic number.

191928192 is a gapful number since it is divisible by the number (12) 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 191928192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274959360).

191928192 is an abundant number, since it is smaller than the sum of its proper divisors (357990528).

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

191928192 is a wasteful number, since it uses less digits than its factorization.

191928192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 760 counting only the distinct ones).

The product of its digits is 23328, while the sum is 42.

The square root of 191928192 is about 13853.8150702252. The cubic root of 191928192 is about 576.8278989765.

Subtracting 191928192 from its reverse (291829191), we obtain a palindrome (99900999).

The spelling of 191928192 in words is "one hundred ninety-one million, nine hundred twenty-eight thousand, one hundred ninety-two".