2338128 has 60 divisors (see below), whose sum is σ = 7052500. Its totient is φ = 718848.

The previous prime is 2338123. The next prime is 2338151. The reversal of 2338128 is 8218332.

It can be written as a sum of positive squares in 2 ways, for example, as 627264 + 1710864 = 792^2 + 1308^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2338123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1248 + ... + 2496.

2^2338128 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 2338128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3526250).

2338128 is an abundant number, since it is smaller than the sum of its proper divisors (4714372).

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

2338128 is a wasteful number, since it uses less digits than its factorization.

2338128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1267 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 2338128 is about 1529.0938493108. The cubic root of 2338128 is about 132.7260269307.

Adding to 2338128 its product of digits (2304), we get a palindrome (2340432).

It can be divided in two parts, 23381 and 28, that added together give a square (23409 = 153²).

The spelling of 2338128 in words is "two million, three hundred thirty-eight thousand, one hundred twenty-eight".