1028128 has 36 divisors (see below), whose sum is σ = 2160270. Its totient is φ = 481536.

The previous prime is 1028117. The next prime is 1028129. The reversal of 1028128 is 8218201.

It can be written as a sum of positive squares in only one way, i.e., 976144 + 51984 = 988^2 + 228^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1028099 and 1028108.

It is not an unprimeable number, because it can be changed into a prime (1028129) 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, 11508 + ... + 11596.

2^1028128 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 1028128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080135).

1028128 is an abundant number, since it is smaller than the sum of its proper divisors (1132142).

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

1028128 is an equidigital number, since it uses as much as digits as its factorization.

1028128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 1028128 is about 1013.9664688736. The cubic root of 1028128 is about 100.9289439114.

It can be divided in two parts, 1028 and 128, that added together give a square (1156 = 34²).

The spelling of 1028128 in words is "one million, twenty-eight thousand, one hundred twenty-eight".