2588328 has 64 divisors (see below), whose sum is σ = 7516800. Its totient is φ = 823680.

The previous prime is 2588309. The next prime is 2588329. The reversal of 2588328 is 8238852.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2588292 and 2588301.

It is not an unprimeable number, because it can be changed into a prime (2588329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4708 + ... + 5228.

It is an arithmetic number, because the mean of its divisors is an integer number (117450).

2^2588328 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 2588328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758400).

2588328 is an abundant number, since it is smaller than the sum of its proper divisors (4928472).

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

2588328 is a wasteful number, since it uses less digits than its factorization.

2588328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 549 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 2588328 is about 1608.8281449552. The cubic root of 2588328 is about 137.3008113102.

It can be divided in two parts, 258832 and 8, that added together give a triangular number (258840 = T₇₁₉).

The spelling of 2588328 in words is "two million, five hundred eighty-eight thousand, three hundred twenty-eight".