824804328 has 64 divisors (see below), whose sum is σ = 2121197760. Its totient is φ = 267111936.

The previous prime is 824804291. The next prime is 824804329. The reversal of 824804328 is 823408428.

It is not an unprimeable number, because it can be changed into a prime (824804329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201276 + ... + 205332.

It is an arithmetic number, because the mean of its divisors is an integer number (33143715).

Almost surely, 2^824804328 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 824804328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060598880).

824804328 is an abundant number, since it is smaller than the sum of its proper divisors (1296393432).

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

824804328 is a wasteful number, since it uses less digits than its factorization.

824804328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4306 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 824804328 is about 28719.4068183868. The cubic root of 824804328 is about 937.8145729061.

The spelling of 824804328 in words is "eight hundred twenty-four million, eight hundred four thousand, three hundred twenty-eight".