2609728 has 42 divisors (see below), whose sum is σ = 5709158. Its totient is φ = 1182720.

The previous prime is 2609701. The next prime is 2609731. The reversal of 2609728 is 8279062.

It can be written as a sum of positive squares in only one way, i.e., 1982464 + 627264 = 1408^2 + 792^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2609693 and 2609702.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7576 + ... + 7912.

2^2609728 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 2609728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854579).

2609728 is an abundant number, since it is smaller than the sum of its proper divisors (3099430).

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

2609728 is a wasteful number, since it uses less digits than its factorization.

2609728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 2609728 is about 1615.4652580604. The cubic root of 2609728 is about 137.6781690333.

The spelling of 2609728 in words is "two million, six hundred nine thousand, seven hundred twenty-eight".