2438128 has 40 divisors (see below), whose sum is σ = 5892480. Its totient is φ = 949440.

The previous prime is 2438101. The next prime is 2438153. The reversal of 2438128 is 8218342.

2438128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2438096 and 2438105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243 + ... + 2221.

It is an arithmetic number, because the mean of its divisors is an integer number (147312).

2^2438128 is an apocalyptic number.

2438128 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 2438128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946240).

2438128 is an abundant number, since it is smaller than the sum of its proper divisors (3454352).

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

2438128 is a wasteful number, since it uses less digits than its factorization.

2438128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 1999 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 2438128 is about 1561.4506076082. The cubic root of 2438128 is about 134.5918721132.

The spelling of 2438128 in words is "two million, four hundred thirty-eight thousand, one hundred twenty-eight".