834100128 has 72 divisors (see below), whose sum is σ = 2385226116. Its totient is φ = 276480000.

The previous prime is 834100123. The next prime is 834100147. The reversal of 834100128 is 821001438.

It can be written as a sum of positive squares in 2 ways, for example, as 816359184 + 17740944 = 28572^2 + 4212^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (834100123) 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, 44128 + ... + 60128.

Almost surely, 2^834100128 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 834100128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192613058).

834100128 is an abundant number, since it is smaller than the sum of its proper divisors (1551125988).

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

834100128 is a wasteful number, since it uses less digits than its factorization.

834100128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16198 (or 16187 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 834100128 is about 28880.7916788997. The cubic root of 834100128 is about 941.3245729607.

The spelling of 834100128 in words is "eight hundred thirty-four million, one hundred thousand, one hundred twenty-eight".