832728 has 64 divisors (see below), whose sum is σ = 2388960. Its totient is φ = 239616.

The previous prime is 832721. The next prime is 832729. The reversal of 832728 is 827238.

832728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 8² + 3⁸ + 7⁷ + 2¹⁰ + 2¹⁰ + 8³ .

Its product of digits (5376) is a multiple of the sum of its prime divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 832695 and 832704.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 832728.

It is not an unprimeable number, because it can be changed into a prime (832721) by changing a digit.

832728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5226 + ... + 5382.

2⁸³²⁷²⁸ 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 832728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194480).

832728 is an abundant number, since it is smaller than the sum of its proper divisors (1556232).

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

832728 is a wasteful number, since it uses less digits than its factorization.

832728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 192 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 832728 is about 912.5393142216. The cubic root of 832728 is about 94.0808117497.

The spelling of 832728 in words is "eight hundred thirty-two thousand, seven hundred twenty-eight".