827328 has 56 divisors (see below), whose sum is σ = 2275840. Its totient is φ = 264960.

The previous prime is 827327. The next prime is 827347. The reversal of 827328 is 823728.

827328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 827295 and 827304.

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 827328.

It is not an unprimeable number, because it can be changed into a prime (827327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5883 + ... + 6021.

It is an arithmetic number, because the mean of its divisors is an integer number (40640).

2⁸²⁷³²⁸ 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 827328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137920).

827328 is an abundant number, since it is smaller than the sum of its proper divisors (1448512).

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

827328 is a wasteful number, since it uses less digits than its factorization.

827328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

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

The square root of 827328 is about 909.5757252698. The cubic root of 827328 is about 93.8770083016.

Subtracting from 827328 its reverse (823728), we obtain a square (3600 = 60²).

The spelling of 827328 in words is "eight hundred twenty-seven thousand, three hundred twenty-eight".