2827131984 has 140 divisors (see below), whose sum is σ = 8268536256. Its totient is φ = 935966016.

The previous prime is 2827131953. The next prime is 2827131991. The reversal of 2827131984 is 4891317282.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1900489 + ... + 1901975.

Almost surely, 2^2827131984 is an apocalyptic number.

2827131984 is a gapful number since it is divisible by the number (24) 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 2827131984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134268128).

2827131984 is an abundant number, since it is smaller than the sum of its proper divisors (5441404272).

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

2827131984 is a wasteful number, since it uses less digits than its factorization.

2827131984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1655 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 2827131984 is about 53170.7812995070. The cubic root of 2827131984 is about 1413.9976726266.

The spelling of 2827131984 in words is "two billion, eight hundred twenty-seven million, one hundred thirty-one thousand, nine hundred eighty-four".