1993128912 has 60 divisors (see below), whose sum is σ = 5595940324. Its totient is φ = 662238720.

The previous prime is 1993128853. The next prime is 1993128947. The reversal of 1993128912 is 2198213991.

It can be written as a sum of positive squares in 2 ways, for example, as 971942976 + 1021185936 = 31176^2 + 31956^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22962 + ... + 67182.

Almost surely, 2^1993128912 is an apocalyptic number.

1993128912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1993128912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797970162).

1993128912 is an abundant number, since it is smaller than the sum of its proper divisors (3602811412).

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

1993128912 is a wasteful number, since it uses less digits than its factorization.

1993128912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44548 (or 44539 counting only the distinct ones).

The product of its digits is 69984, while the sum is 45.

The square root of 1993128912 is about 44644.4723566087. The cubic root of 1993128912 is about 1258.4765563549.

The spelling of 1993128912 in words is "one billion, nine hundred ninety-three million, one hundred twenty-eight thousand, nine hundred twelve".