1123828992 has 360 divisors, whose sum is σ = 3947291040. Its totient is φ = 313528320.

The previous prime is 1123828973. The next prime is 1123828999. The reversal of 1123828992 is 2998283211.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123828999) 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 39 ways as a sum of consecutive naturals, for example, 2965059 + ... + 2965437.

Almost surely, 2^1123828992 is an apocalyptic number.

1123828992 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 1123828992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973645520).

1123828992 is an abundant number, since it is smaller than the sum of its proper divisors (2823462048).

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

1123828992 is a wasteful number, since it uses less digits than its factorization.

1123828992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 408 counting only the distinct ones).

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

The square root of 1123828992 is about 33523.5587609669. The cubic root of 1123828992 is about 1039.6809277596.

The spelling of 1123828992 in words is "one billion, one hundred twenty-three million, eight hundred twenty-eight thousand, nine hundred ninety-two".