171128832 has 192 divisors, whose sum is σ = 547223040. Its totient is φ = 46497792.

The previous prime is 171128813. The next prime is 171128843. The reversal of 171128832 is 238821171.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 171128793 and 171128802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 989098 + ... + 989270.

It is an arithmetic number, because the mean of its divisors is an integer number (2850120).

Almost surely, 2^171128832 is an apocalyptic number.

171128832 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 171128832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273611520).

171128832 is an abundant number, since it is smaller than the sum of its proper divisors (376094208).

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

171128832 is a wasteful number, since it uses less digits than its factorization.

171128832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 208 counting only the distinct ones).

The product of its digits is 5376, while the sum is 33.

The square root of 171128832 is about 13081.6219177899. The cubic root of 171128832 is about 555.1892674829.

The spelling of 171128832 in words is "one hundred seventy-one million, one hundred twenty-eight thousand, eight hundred thirty-two".