2761728 has 88 divisors (see below), whose sum is σ = 7860480. Its totient is φ = 860160.

The previous prime is 2761727. The next prime is 2761729. The reversal of 2761728 is 8271672.

It is an interprime number because it is at equal distance from previous prime (2761727) and next prime (2761729).

It is not an unprimeable number, because it can be changed into a prime (2761721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89073 + ... + 89103.

2^2761728 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 2761728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3930240).

2761728 is an abundant number, since it is smaller than the sum of its proper divisors (5098752).

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

2761728 is a wasteful number, since it uses less digits than its factorization.

2761728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 65 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 2761728 is about 1661.8447580926. The cubic root of 2761728 is about 140.3008496320.

The spelling of 2761728 in words is "two million, seven hundred sixty-one thousand, seven hundred twenty-eight".