2806128 has 60 divisors (see below), whose sum is σ = 8463000. Its totient is φ = 862848.

The previous prime is 2806123. The next prime is 2806157. The reversal of 2806128 is 8216082.

2806128 is nontrivially palindromic in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2806121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1123 + ... + 2621.

It is an arithmetic number, because the mean of its divisors is an integer number (141050).

2^2806128 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 2806128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231500).

2806128 is an abundant number, since it is smaller than the sum of its proper divisors (5656872).

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

2806128 is a wasteful number, since it uses less digits than its factorization.

2806128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2806128 is about 1675.1501425245. The cubic root of 2806128 is about 141.0487231646.

The spelling of 2806128 in words is "two million, eight hundred six thousand, one hundred twenty-eight".