823161328 has 40 divisors (see below), whose sum is σ = 1768409136. Its totient is φ = 368025600.

The previous prime is 823161323. The next prime is 823161347.

It is a happy number.

823161328 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 823161293 and 823161302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823161323) 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, 27601 + ... + 49072.

Almost surely, 2^823161328 is an apocalyptic number.

823161328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

823161328 is an abundant number, since it is smaller than the sum of its proper divisors (945247808).

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

823161328 is a wasteful number, since it uses less digits than its factorization.

823161328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76753 (or 76747 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 823161328 is about 28690.7882080643. The cubic root of 823161328 is about 937.1914539719.

The spelling of 823161328 in words is "eight hundred twenty-three million, one hundred sixty-one thousand, three hundred twenty-eight".