823181328 has 60 divisors (see below), whose sum is σ = 2366043628. Its totient is φ = 266976000.

The previous prime is 823181323. The next prime is 823181329.

823181328 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 755810064 + 67371264 = 27492^2 + 8208^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 823181292 and 823181301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823181323) 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 11 ways as a sum of consecutive naturals, for example, 71923 + ... + 82578.

Almost surely, 2^823181328 is an apocalyptic number.

It is an amenable number.

823181328 is an abundant number, since it is smaller than the sum of its proper divisors (1542862300).

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

823181328 is a wasteful number, since it uses less digits than its factorization.

823181328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154552 (or 154543 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 823181328 is about 28691.1367498745. The cubic root of 823181328 is about 937.1990440909.

The spelling of 823181328 in words is "eight hundred twenty-three million, one hundred eighty-one thousand, three hundred twenty-eight".