1138593792 has 312 divisors, whose sum is σ = 3705215232. Its totient is φ = 309657600.

The previous prime is 1138593773. The next prime is 1138593793. The reversal of 1138593792 is 2973958311.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1138593793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18665442 + ... + 18665502.

Almost surely, 2^1138593792 is an apocalyptic number.

1138593792 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 1138593792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852607616).

1138593792 is an abundant number, since it is smaller than the sum of its proper divisors (2566621440).

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

1138593792 is an equidigital number, since it uses as much as digits as its factorization.

1138593792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 104 counting only the distinct ones).

The product of its digits is 408240, while the sum is 48.

The square root of 1138593792 is about 33743.0554633098. The cubic root of 1138593792 is about 1044.2142218319.

The spelling of 1138593792 in words is "one billion, one hundred thirty-eight million, five hundred ninety-three thousand, seven hundred ninety-two".