2753328 has 40 divisors (see below), whose sum is σ = 7489600. Its totient is φ = 869184.

The previous prime is 2753323. The next prime is 2753351. The reversal of 2753328 is 8233572.

It is a d-powerful number, because it can be written as 2¹⁷ + 7² + 5⁹ + 3⁸ + 3¹² + 2¹⁷ + 8 .

It is a junction number, because it is equal to n+sod(n) for n = 2753295 and 2753304.

It is not an unprimeable number, because it can be changed into a prime (2753323) by changing a digit.

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, 598 + ... + 2421.

It is an arithmetic number, because the mean of its divisors is an integer number (187240).

2^2753328 is an apocalyptic number.

It is an amenable number.

2753328 is an abundant number, since it is smaller than the sum of its proper divisors (4736272).

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

2753328 is a wasteful number, since it uses less digits than its factorization.

2753328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3049 (or 3043 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 2753328 is about 1659.3155215329. The cubic root of 2753328 is about 140.1584600340.

It can be divided in two parts, 2753 and 328, that added together give a triangular number (3081 = T₇₈).

The spelling of 2753328 in words is "two million, seven hundred fifty-three thousand, three hundred twenty-eight".