2827833120 has 720 divisors, whose sum is σ = 11961218808. Its totient is φ = 627056640.

The previous prime is 2827833109. The next prime is 2827833133. The reversal of 2827833120 is 213387282.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1565310096 + 1262523024 = 39564^2 + 35532^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

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 119 ways as a sum of consecutive naturals, for example, 38737404 + ... + 38737476.

Almost surely, 2^2827833120 is an apocalyptic number.

2827833120 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 2827833120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5980609404).

2827833120 is an abundant number, since it is smaller than the sum of its proper divisors (9133385688).

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

2827833120 is a wasteful number, since it uses less digits than its factorization.

2827833120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2827833120 is about 53177.3741359989. The cubic root of 2827833120 is about 1414.1145546508.

The spelling of 2827833120 in words is "two billion, eight hundred twenty-seven million, eight hundred thirty-three thousand, one hundred twenty".