2827884384 has 72 divisors (see below), whose sum is σ = 8660407392. Its totient is φ = 870117120.

The previous prime is 2827884383. The next prime is 2827884401. The reversal of 2827884384 is 4834887282.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2827884384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2827884383) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 373912 + ... + 381399.

It is an arithmetic number, because the mean of its divisors is an integer number (120283436).

Almost surely, 2^2827884384 is an apocalyptic number.

2827884384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2827884384 is an abundant number, since it is smaller than the sum of its proper divisors (5832523008).

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

2827884384 is a wasteful number, since it uses less digits than its factorization.

2827884384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755340 (or 755329 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 54.

The square root of 2827884384 is about 53177.8561433234. The cubic root of 2827884384 is about 1414.1230997956.

The spelling of 2827884384 in words is "two billion, eight hundred twenty-seven million, eight hundred eighty-four thousand, three hundred eighty-four".