993288192 has 112 divisors (see below), whose sum is σ = 2853263280. Its totient is φ = 305528832.

The previous prime is 993288157. The next prime is 993288217. The reversal of 993288192 is 291882399.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317934 + ... + 321042.

It is an arithmetic number, because the mean of its divisors is an integer number (25475565).

Almost surely, 2^993288192 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 993288192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426631640).

993288192 is an abundant number, since it is smaller than the sum of its proper divisors (1859975088).

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

993288192 is a wasteful number, since it uses less digits than its factorization.

993288192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3151 (or 3127 counting only the distinct ones).

The product of its digits is 559872, while the sum is 51.

The square root of 993288192 is about 31516.4749297887. The cubic root of 993288192 is about 997.7577065447.

The spelling of 993288192 in words is "nine hundred ninety-three million, two hundred eighty-eight thousand, one hundred ninety-two".