809132328 has 80 divisors (see below), whose sum is σ = 2385636000. Its totient is φ = 255511584.

The previous prime is 809132327. The next prime is 809132329. The reversal of 809132328 is 823231908.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (809132327) and next prime (809132329).

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

It is a junction number, because it is equal to n+sod(n) for n = 809132292 and 809132301.

It is not an unprimeable number, because it can be changed into a prime (809132327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20548 + ... + 45171.

It is an arithmetic number, because the mean of its divisors is an integer number (29820450).

Almost surely, 2^809132328 is an apocalyptic number.

It is an amenable number.

809132328 is an abundant number, since it is smaller than the sum of its proper divisors (1576503672).

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

809132328 is a wasteful number, since it uses less digits than its factorization.

809132328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65756 (or 65743 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 809132328 is about 28445.2514139004. The cubic root of 809132328 is about 931.8367861209.

The spelling of 809132328 in words is "eight hundred nine million, one hundred thirty-two thousand, three hundred twenty-eight".