2823158400 has 192 divisors, whose sum is σ = 9498142080. Its totient is φ = 736706560.

The previous prime is 2823158389. The next prime is 2823158411. The reversal of 2823158400 is 48513282.

It is an interprime number because it is at equal distance from previous prime (2823158389) and next prime (2823158411).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448072 + ... + 454328.

It is an arithmetic number, because the mean of its divisors is an integer number (49469490).

Almost surely, 2^2823158400 is an apocalyptic number.

2823158400 is a gapful number since it is divisible by the number (20) 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 2823158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749071040).

2823158400 is an abundant number, since it is smaller than the sum of its proper divisors (6674983680).

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

2823158400 is a wasteful number, since it uses less digits than its factorization.

2823158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6331 (or 6314 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2823158400 is about 53133.4019238369. The cubic root of 2823158400 is about 1413.3348957698.

The spelling of 2823158400 in words is "two billion, eight hundred twenty-three million, one hundred fifty-eight thousand, four hundred".