2928728 has 32 divisors (see below), whose sum is σ = 6255360. Its totient is φ = 1272480.

The previous prime is 2928719. The next prime is 2928749. The reversal of 2928728 is 8278292.

It is a d-powerful number, because it can be written as 2⁷ + 9⁴ + 2⁸ + 8² + 7⁷ + 2¹⁰ + 8⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 2928691 and 2928700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1301 + ... + 2747.

It is an arithmetic number, because the mean of its divisors is an integer number (195480).

2^2928728 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 2928728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3127680).

2928728 is an abundant number, since it is smaller than the sum of its proper divisors (3326632).

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

2928728 is a wasteful number, since it uses less digits than its factorization.

2928728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1483 counting only the distinct ones).

The product of its digits is 32256, while the sum is 38.

The square root of 2928728 is about 1711.3526813606. The cubic root of 2928728 is about 143.0736575886.

The spelling of 2928728 in words is "two million, nine hundred twenty-eight thousand, seven hundred twenty-eight".