824328 has 36 divisors (see below), whose sum is σ = 2253615. Its totient is φ = 272208.

The previous prime is 824287. The next prime is 824339. The reversal of 824328 is 823428.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 412164 + 412164 = 642^2 + 642^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=642.

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 824328.

It is an unprimeable number.

824328 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 8 ways as a sum of consecutive naturals, for example, 7651 + ... + 7757.

2⁸²⁴³²⁸ 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 824328

824328 is an abundant number, since it is smaller than the sum of its proper divisors (1429287).

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

824328 is a wasteful number, since it uses less digits than its factorization.

824328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 112 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 824328 is about 907.9251070435. The cubic root of 824328 is about 93.7634007511.

Subtracting from 824328 its reverse (823428), we obtain a square (900 = 30²).

It can be divided in two parts, 8 and 24328, that added together give a square (24336 = 156²).

The spelling of 824328 in words is "eight hundred twenty-four thousand, three hundred twenty-eight".