812593328 has 40 divisors (see below), whose sum is σ = 1628467200. Its totient is φ = 392397120.

The previous prime is 812593321. The next prime is 812593333. The reversal of 812593328 is 823395218.

It is not an unprimeable number, because it can be changed into a prime (812593321) 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 7 ways as a sum of consecutive naturals, for example, 299723 + ... + 302421.

It is an arithmetic number, because the mean of its divisors is an integer number (40711680).

Almost surely, 2^812593328 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 812593328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814233600).

812593328 is an abundant number, since it is smaller than the sum of its proper divisors (815873872).

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

812593328 is a wasteful number, since it uses less digits than its factorization.

812593328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345 (or 3339 counting only the distinct ones).

The product of its digits is 103680, while the sum is 41.

The square root of 812593328 is about 28506.0226618867. The cubic root of 812593328 is about 933.1635158160.

The spelling of 812593328 in words is "eight hundred twelve million, five hundred ninety-three thousand, three hundred twenty-eight".