2928544 has 36 divisors (see below), whose sum is σ = 6061986. Its totient is φ = 1392512.

The previous prime is 2928529. The next prime is 2928547. The reversal of 2928544 is 4458292.

2928544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1904400 + 1024144 = 1380^2 + 1012^2 .

It is not an unprimeable number, because it can be changed into a prime (2928547) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 16842 + ... + 17014.

2^2928544 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 2928544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030993).

2928544 is an abundant number, since it is smaller than the sum of its proper divisors (3133442).

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

2928544 is a wasteful number, since it uses less digits than its factorization.

2928544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 198 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 2928544 is about 1711.2989218719. The cubic root of 2928544 is about 143.0706612816.

It can be divided in two parts, 292 and 8544, that added together give a square (8836 = 94²).

The spelling of 2928544 in words is "two million, nine hundred twenty-eight thousand, five hundred forty-four".