1993822128 has 200 divisors, whose sum is σ = 5973992640. Its totient is φ = 641571840.

The previous prime is 1993822121. The next prime is 1993822139. The reversal of 1993822128 is 8212283991.

It is a happy number.

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 (1993822121) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 8342233 + ... + 8342471.

Almost surely, 2^1993822128 is an apocalyptic number.

1993822128 is a gapful number since it is divisible by the number (18) 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 1993822128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986996320).

1993822128 is an abundant number, since it is smaller than the sum of its proper divisors (3980170512).

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

1993822128 is a wasteful number, since it uses less digits than its factorization.

1993822128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 442 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 1993822128 is about 44652.2354199653. The cubic root of 1993822128 is about 1258.6224400387.

The spelling of 1993822128 in words is "one billion, nine hundred ninety-three million, eight hundred twenty-two thousand, one hundred twenty-eight".