1993282368 has 504 divisors, whose sum is σ = 7209349056. Its totient is φ = 482549760.

The previous prime is 1993282337. The next prime is 1993282387. The reversal of 1993282368 is 8632823991.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 1993282368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19352205 + ... + 19352307.

It is an arithmetic number, because the mean of its divisors is an integer number (14304264).

Almost surely, 2^1993282368 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 1993282368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604674528).

1993282368 is an abundant number, since it is smaller than the sum of its proper divisors (5216066688).

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

1993282368 is a wasteful number, since it uses less digits than its factorization.

1993282368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 143 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 1993282368 is about 44646.1909685474. The cubic root of 1993282368 is about 1258.5088532828.

The spelling of 1993282368 in words is "one billion, nine hundred ninety-three million, two hundred eighty-two thousand, three hundred sixty-eight".