2678728 has 32 divisors (see below), whose sum is σ = 5544000. Its totient is φ = 1205568.

The previous prime is 2678719. The next prime is 2678729. The reversal of 2678728 is 8278762.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2678729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4173 + ... + 4771.

It is an arithmetic number, because the mean of its divisors is an integer number (173250).

2^2678728 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 2678728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772000).

2678728 is an abundant number, since it is smaller than the sum of its proper divisors (2865272).

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

2678728 is a wasteful number, since it uses less digits than its factorization.

2678728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 657 counting only the distinct ones).

The product of its digits is 75264, while the sum is 40.

The square root of 2678728 is about 1636.6820094325. The cubic root of 2678728 is about 138.8810119859.

The spelling of 2678728 in words is "two million, six hundred seventy-eight thousand, seven hundred twenty-eight".