993828168 has 24 divisors (see below), whose sum is σ = 2691618150. Its totient is φ = 331276032.

The previous prime is 993828167. The next prime is 993828191. The reversal of 993828168 is 861828399.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 972317124 + 21511044 = 31182^2 + 4638^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (993828167) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6901513 + ... + 6901656.

Almost surely, 2^993828168 is an apocalyptic number.

It is an amenable number.

993828168 is an abundant number, since it is smaller than the sum of its proper divisors (1697789982).

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

993828168 is a wasteful number, since it uses less digits than its factorization.

993828168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13803181 (or 13803174 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 993828168 is about 31525.0403330432. The cubic root of 993828168 is about 997.9384757047.

The spelling of 993828168 in words is "nine hundred ninety-three million, eight hundred twenty-eight thousand, one hundred sixty-eight".