838411128 has 64 divisors (see below), whose sum is σ = 2337676800. Its totient is φ = 278419680.

The previous prime is 838411103. The next prime is 838411139. The reversal of 838411128 is 821114838.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 838411092 and 838411101.

It is a congruent number.

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, 51375 + ... + 65697.

It is an arithmetic number, because the mean of its divisors is an integer number (36526200).

Almost surely, 2^838411128 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 838411128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168838400).

838411128 is an abundant number, since it is smaller than the sum of its proper divisors (1499265672).

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

838411128 is a wasteful number, since it uses less digits than its factorization.

838411128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14609 (or 14599 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 838411128 is about 28955.3298720633. The cubic root of 838411128 is about 942.9435148738.

The spelling of 838411128 in words is "eight hundred thirty-eight million, four hundred eleven thousand, one hundred twenty-eight".