2827348320 has 96 divisors (see below), whose sum is σ = 8915961600. Its totient is φ = 753128960.

The previous prime is 2827348313. The next prime is 2827348373. The reversal of 2827348320 is 238437282.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 520981 + ... + 526379.

It is an arithmetic number, because the mean of its divisors is an integer number (92874600).

Almost surely, 2^2827348320 is an apocalyptic number.

2827348320 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 2827348320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457980800).

2827348320 is an abundant number, since it is smaller than the sum of its proper divisors (6088613280).

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

2827348320 is a wasteful number, since it uses less digits than its factorization.

2827348320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6508 (or 6500 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 2827348320 is about 53172.8156109868. The cubic root of 2827348320 is about 1414.0337387176.

The spelling of 2827348320 in words is "two billion, eight hundred twenty-seven million, three hundred forty-eight thousand, three hundred twenty".