2827273000 has 64 divisors (see below), whose sum is σ = 6627226320. Its totient is φ = 1128960000.

The previous prime is 2827272989. The next prime is 2827273139. The reversal of 2827273000 is 3727282.

It can be written as a sum of positive squares in 8 ways, for example, as 91355364 + 2735917636 = 9558^2 + 52306^2 .

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 15 ways as a sum of consecutive naturals, for example, 670900 + ... + 675100.

Almost surely, 2^2827273000 is an apocalyptic number.

2827273000 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 2827273000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3313613160).

2827273000 is an abundant number, since it is smaller than the sum of its proper divisors (3799953320).

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

2827273000 is a wasteful number, since it uses less digits than its factorization.

2827273000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4895 (or 4881 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 2827273000 is about 53172.1073496246. The cubic root of 2827273000 is about 1414.0211820798.

The spelling of 2827273000 in words is "two billion, eight hundred twenty-seven million, two hundred seventy-three thousand".