191728 has 20 divisors (see below), whose sum is σ = 388368. Its totient is φ = 91520.

The previous prime is 191717. The next prime is 191747. The reversal of 191728 is 827191.

It is a junction number, because it is equal to n+sod(n) for n = 191696 and 191705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 108 + ... + 628.

2¹⁹¹⁷²⁸ 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 191728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194184).

191728 is an abundant number, since it is smaller than the sum of its proper divisors (196640).

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

191728 is a wasteful number, since it uses less digits than its factorization.

191728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 546 counting only the distinct ones).

The product of its digits is 1008, while the sum is 28.

The square root of 191728 is about 437.8675598854. The cubic root of 191728 is about 57.6627274458.

It can be divided in two parts, 191 and 728, that added together give a palindrome (919).

The spelling of 191728 in words is "one hundred ninety-one thousand, seven hundred twenty-eight".