2827997568 has 384 divisors, whose sum is σ = 9593026560. Its totient is φ = 790732800.

The previous prime is 2827997527. The next prime is 2827997597. The reversal of 2827997568 is 8657997282.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2827997568² = 15995140489227829248, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 9034980 + ... + 9035292.

It is an arithmetic number, because the mean of its divisors is an integer number (24981840).

Almost surely, 2^2827997568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2827997568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796513280).

2827997568 is an abundant number, since it is smaller than the sum of its proper divisors (6765028992).

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

2827997568 is a wasteful number, since it uses less digits than its factorization.

2827997568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 383 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The square root of 2827997568 is about 53178.9203350350. The cubic root of 2827997568 is about 1414.1419659575.

The spelling of 2827997568 in words is "two billion, eight hundred twenty-seven million, nine hundred ninety-seven thousand, five hundred sixty-eight".