823141328 has 10 divisors (see below), whose sum is σ = 1594836354. Its totient is φ = 411570656.

The previous prime is 823141327. The next prime is 823141337.

823141328 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 783552064 + 39589264 = 27992^2 + 6292^2 .

It is a junction number, because it is equal to n+sod(n) for n = 823141294 and 823141303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823141327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25723151 + ... + 25723182.

Almost surely, 2^823141328 is an apocalyptic number.

It is an amenable number.

823141328 is a deficient number, since it is larger than the sum of its proper divisors (771695026).

823141328 is a wasteful number, since it uses less digits than its factorization.

823141328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51446341 (or 51446335 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 823141328 is about 28690.4396620198. The cubic root of 823141328 is about 937.1838637300.

The spelling of 823141328 in words is "eight hundred twenty-three million, one hundred forty-one thousand, three hundred twenty-eight".