832128 has 64 divisors (see below), whose sum is σ = 2423520. Its totient is φ = 250880.

The previous prime is 832123. The next prime is 832129. The reversal of 832128 is 821238.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 832098 and 832107.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 832128.

It is not an unprimeable number, because it can be changed into a prime (832121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4126 + ... + 4322.

2⁸³²¹²⁸ is an apocalyptic number.

832128 is a gapful number since it is divisible by the number (88) 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 832128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211760).

832128 is an abundant number, since it is smaller than the sum of its proper divisors (1591392).

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

832128 is a wasteful number, since it uses less digits than its factorization.

832128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 213 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 832128 is about 912.2105020224. The cubic root of 832128 is about 94.0582105121.

It can be divided in two parts, 83 and 2128, that added together give a triangular number (2211 = T₆₆).

The spelling of 832128 in words is "eight hundred thirty-two thousand, one hundred twenty-eight".