838128 has 40 divisors (see below), whose sum is σ = 2281600. Its totient is φ = 264384.

The previous prime is 838099. The next prime is 838133. The reversal of 838128 is 821838.

838128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 838095 and 838104.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 838128.

It is an unprimeable number.

838128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 453 + ... + 1371.

It is an arithmetic number, because the mean of its divisors is an integer number (57040).

2⁸³⁸¹²⁸ 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 838128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140800).

838128 is an abundant number, since it is smaller than the sum of its proper divisors (1443472).

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

838128 is a wasteful number, since it uses less digits than its factorization.

838128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 943 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 838128 is about 915.4933096424. The cubic root of 838128 is about 94.2837360204.

Subtracting from 838128 its reverse (821838), we obtain a triangular number (16290 = T₁₈₀).

The spelling of 838128 in words is "eight hundred thirty-eight thousand, one hundred twenty-eight".