993328056 has 256 divisors, whose sum is σ = 3373056000. Its totient is φ = 264539520.

The previous prime is 993328043. The next prime is 993328073. The reversal of 993328056 is 650823399.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2039445 + ... + 2039931.

It is an arithmetic number, because the mean of its divisors is an integer number (13176000).

Almost surely, 2^993328056 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 993328056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686528000).

993328056 is an abundant number, since it is smaller than the sum of its proper divisors (2379727944).

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

993328056 is a wasteful number, since it uses less digits than its factorization.

993328056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 993328056 is about 31517.1073545781. The cubic root of 993328056 is about 997.7710541584.

The spelling of 993328056 in words is "nine hundred ninety-three million, three hundred twenty-eight thousand, fifty-six".