2823849000 has 512 divisors, whose sum is σ = 11405721600. Its totient is φ = 632966400.

The previous prime is 2823848977. The next prime is 2823849013. The reversal of 2823849000 is 9483282.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12662889 + ... + 12663111.

It is an arithmetic number, because the mean of its divisors is an integer number (22276800).

Almost surely, 2^2823849000 is an apocalyptic number.

2823849000 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 2823849000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702860800).

2823849000 is an abundant number, since it is smaller than the sum of its proper divisors (8581872600).

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

2823849000 is a wasteful number, since it uses less digits than its factorization.

2823849000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2823849000 is about 53139.9002633614. The cubic root of 2823849000 is about 1413.4501295334.

The spelling of 2823849000 in words is "two billion, eight hundred twenty-three million, eight hundred forty-nine thousand".