2823991128 has 480 divisors, whose sum is σ = 10064102400. Its totient is φ = 734832000.

The previous prime is 2823991069. The next prime is 2823991169. The reversal of 2823991128 is 8211993282.

It is a happy number.

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

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18701853 + ... + 18702003.

It is an arithmetic number, because the mean of its divisors is an integer number (20966880).

Almost surely, 2^2823991128 is an apocalyptic number.

2823991128 is a gapful number since it is divisible by the number (28) 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 2823991128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5032051200).

2823991128 is an abundant number, since it is smaller than the sum of its proper divisors (7240111272).

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

2823991128 is a wasteful number, since it uses less digits than its factorization.

2823991128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 213 counting only the distinct ones).

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

The square root of 2823991128 is about 53141.2375467489. The cubic root of 2823991128 is about 1413.4738427312.

The spelling of 2823991128 in words is "two billion, eight hundred twenty-three million, nine hundred ninety-one thousand, one hundred twenty-eight".