191088128 has 160 divisors (see below), whose sum is σ = 492611328. Its totient is φ = 71884800.

The previous prime is 191088119. The next prime is 191088133. The reversal of 191088128 is 821880191.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 191088091 and 191088100.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1458623 + ... + 1458753.

Almost surely, 2^191088128 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 191088128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246305664).

191088128 is an abundant number, since it is smaller than the sum of its proper divisors (301523200).

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

191088128 is a wasteful number, since it uses less digits than its factorization.

191088128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 38.

The square root of 191088128 is about 13823.4629525311. The cubic root of 191088128 is about 575.9850819182.

The spelling of 191088128 in words is "one hundred ninety-one million, eighty-eight thousand, one hundred twenty-eight".