191928960 has 256 divisors, whose sum is σ = 705024000. Its totient is φ = 49287168.

The previous prime is 191928959. The next prime is 191928977. The reversal of 191928960 is 69829191.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 500929 + ... + 501311.

It is an arithmetic number, because the mean of its divisors is an integer number (2754000).

Almost surely, 2^191928960 is an apocalyptic number.

191928960 is a gapful number since it is divisible by the number (10) 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 191928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352512000).

191928960 is an abundant number, since it is smaller than the sum of its proper divisors (513095040).

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

191928960 is a wasteful number, since it uses less digits than its factorization.

191928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 191928960 is about 13853.8427881942. The cubic root of 191928960 is about 576.8286683671.

The spelling of 191928960 in words is "one hundred ninety-one million, nine hundred twenty-eight thousand, nine hundred sixty".