2210728 has 32 divisors (see below), whose sum is σ = 4624200. Its totient is φ = 983808.

The previous prime is 2210723. The next prime is 2210729. The reversal of 2210728 is 8270122.

2210728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2067844 + 142884 = 1438^2 + 378^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2210699 and 2210708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2650 + ... + 3382.

2^2210728 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 2210728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312100).

2210728 is an abundant number, since it is smaller than the sum of its proper divisors (2413472).

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

2210728 is a wasteful number, since it uses less digits than its factorization.

2210728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 2210728 is about 1486.8517074678. The cubic root of 2210728 is about 130.2702072114.

The spelling of 2210728 in words is "two million, two hundred ten thousand, seven hundred twenty-eight".