2827968 has 112 divisors (see below), whose sum is σ = 8875776. Its totient is φ = 783360.

The previous prime is 2827961. The next prime is 2827969. The reversal of 2827968 is 8697282.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2827961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27405 + ... + 27507.

It is an arithmetic number, because the mean of its divisors is an integer number (79248).

2^2827968 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 2827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4437888).

2827968 is an abundant number, since it is smaller than the sum of its proper divisors (6047808).

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

2827968 is a wasteful number, since it uses less digits than its factorization.

2827968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 132 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 2827968 is about 1681.6563263640. The cubic root of 2827968 is about 141.4137037441.

The spelling of 2827968 in words is "two million, eight hundred twenty-seven thousand, nine hundred sixty-eight".