1028872 has 24 divisors (see below), whose sum is σ = 2091690. Its totient is φ = 474240.

The previous prime is 1028843. The next prime is 1028873. The reversal of 1028872 is 2788201.

1028872 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 3 ways, for example, as 171396 + 857476 = 414^2 + 926^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1028872.

It is not an unprimeable number, because it can be changed into a prime (1028873) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 972 + ... + 1732.

2^1028872 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 1028872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045845).

1028872 is an abundant number, since it is smaller than the sum of its proper divisors (1062818).

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

1028872 is a wasteful number, since it uses less digits than its factorization.

1028872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 1028872 is about 1014.3332785628. Note that the first 3 decimals coincide. The cubic root of 1028872 is about 100.9532836267.

It can be divided in two parts, 10 and 28872, that added together give a palindrome (28882).

The spelling of 1028872 in words is "one million, twenty-eight thousand, eight hundred seventy-two".