2638128 has 80 divisors (see below), whose sum is σ = 7472736. Its totient is φ = 798720.

The previous prime is 2638087. The next prime is 2638177. The reversal of 2638128 is 8218362.

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

It is a junction number, because it is equal to n+sod(n) for n = 2638095 and 2638104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43218 + ... + 43278.

2^2638128 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 2638128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736368).

2638128 is an abundant number, since it is smaller than the sum of its proper divisors (4834608).

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

2638128 is a wasteful number, since it uses less digits than its factorization.

2638128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 2638128 is about 1624.2315105920. The cubic root of 2638128 is about 138.1757894205.

The spelling of 2638128 in words is "two million, six hundred thirty-eight thousand, one hundred twenty-eight".