993212928 has 160 divisors (see below), whose sum is σ = 2979630720. Its totient is φ = 330697728.

The previous prime is 993212921. The next prime is 993212989. The reversal of 993212928 is 829212399.

It is a happy number.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (993212921) 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 15 ways as a sum of consecutive naturals, for example, 1119301 + ... + 1120187.

It is an arithmetic number, because the mean of its divisors is an integer number (18622692).

Almost surely, 2^993212928 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 993212928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489815360).

993212928 is an abundant number, since it is smaller than the sum of its proper divisors (1986417792).

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

993212928 is an frugal number, since it uses more digits than its factorization.

993212928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 892 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 993212928 is about 31515.2808650026. The cubic root of 993212928 is about 997.7325050193.

The spelling of 993212928 in words is "nine hundred ninety-three million, two hundred twelve thousand, nine hundred twenty-eight".