2228128 has 60 divisors (see below), whose sum is σ = 5293890. Its totient is φ = 921984.

The previous prime is 2228123. The next prime is 2228137. The reversal of 2228128 is 8218222.

It can be written as a sum of positive squares in only one way, i.e., 1882384 + 345744 = 1372^2 + 588^2 .

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (2228123) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 76818 + ... + 76846.

2^2228128 is an apocalyptic number.

2228128 is a gapful number since it is divisible by the number (28) 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 2228128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646945).

2228128 is an abundant number, since it is smaller than the sum of its proper divisors (3065762).

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

2228128 is an frugal number, since it uses more digits than its factorization.

2228128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 38 counting only the distinct ones).

The product of its digits is 1024, while the sum is 25.

The square root of 2228128 is about 1492.6915287493. The cubic root of 2228128 is about 130.6110874738.

It can be divided in two parts, 22 and 28128, that multiplied together give a palindrome (618816).

The spelling of 2228128 in words is "two million, two hundred twenty-eight thousand, one hundred twenty-eight".