1328128 has 22 divisors (see below), whose sum is σ = 2657006. Its totient is φ = 663552.

The previous prime is 1328111. The next prime is 1328143. The reversal of 1328128 is 8218231.

It can be written as a sum of positive squares in only one way, i.e., 1327104 + 1024 = 1152^2 + 32^2 .

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 376 + ... + 1672.

It is an arithmetic number, because the mean of its divisors is an integer number (120773).

2^1328128 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 1328128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328503).

1328128 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

1328128 is an equidigital number, since it uses as much as digits as its factorization.

1328128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1299 counting only the distinct ones).

The product of its digits is 768, while the sum is 25.

The square root of 1328128 is about 1152.4443587436. Note that the first 3 decimals coincide. The cubic root of 1328128 is about 109.9208245677.

The spelling of 1328128 in words is "one million, three hundred twenty-eight thousand, one hundred twenty-eight".