191132928 has 162 divisors, whose sum is σ = 641434794. Its totient is φ = 54577152.

The previous prime is 191132927. The next prime is 191132941. The reversal of 191132928 is 829231191.

191132928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 154554624 + 36578304 = 12432^2 + 6048^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 191132892 and 191132901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191132927) 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 17 ways as a sum of consecutive naturals, for example, 112050 + ... + 113742.

Almost surely, 2^191132928 is an apocalyptic number.

191132928 is a gapful number since it is divisible by the number (18) 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 191132928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320717397).

191132928 is an abundant number, since it is smaller than the sum of its proper divisors (450301866).

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

191132928 is a wasteful number, since it uses less digits than its factorization.

191132928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1705 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 191132928 is about 13825.0832908883. The cubic root of 191132928 is about 576.0300910206.

The spelling of 191132928 in words is "one hundred ninety-one million, one hundred thirty-two thousand, nine hundred twenty-eight".