2771328 has 64 divisors (see below), whose sum is σ = 8421120. Its totient is φ = 791040.

The previous prime is 2771309. The next prime is 2771333. The reversal of 2771328 is 8231772.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2771295 and 2771304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2173 + ... + 3203.

It is an arithmetic number, because the mean of its divisors is an integer number (131580).

2^2771328 is an apocalyptic number.

2771328 is a gapful number since it is divisible by the number (28) 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 2771328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210560).

2771328 is an abundant number, since it is smaller than the sum of its proper divisors (5649792).

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

2771328 is a wasteful number, since it uses less digits than its factorization.

2771328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1043 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 2771328 is about 1664.7306088374. The cubic root of 2771328 is about 140.4632275020.

It can be divided in two parts, 277132 and 8, that added together give a triangular number (277140 = T₇₄₄).

The spelling of 2771328 in words is "two million, seven hundred seventy-one thousand, three hundred twenty-eight".