1028880 has 60 divisors (see below), whose sum is σ = 3457740. Its totient is φ = 274176.

The previous prime is 1028873. The next prime is 1028893. The reversal of 1028880 is 888201.

1028880 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 2 ways, for example, as 197136 + 831744 = 444^2 + 912^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6 + ... + 1434.

It is an arithmetic number, because the mean of its divisors is an integer number (57629).

2^1028880 is an apocalyptic number.

1028880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728870).

1028880 is an abundant number, since it is smaller than the sum of its proper divisors (2428860).

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

1028880 is a wasteful number, since it uses less digits than its factorization.

1028880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1028880 is about 1014.3372220322. The cubic root of 1028880 is about 100.9535452803.

The spelling of 1028880 in words is "one million, twenty-eight thousand, eight hundred eighty".