834145728 has 112 divisors (see below), whose sum is σ = 2391338880. Its totient is φ = 255089664.

The previous prime is 834145727. The next prime is 834145751. The reversal of 834145728 is 827541438.

It is a self number, because there is not a number n which added to its sum of digits gives 834145728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834145721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445851 + ... + 447717.

It is an arithmetic number, because the mean of its divisors is an integer number (21351240).

Almost surely, 2^834145728 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 834145728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195669440).

834145728 is an abundant number, since it is smaller than the sum of its proper divisors (1557193152).

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

834145728 is a wasteful number, since it uses less digits than its factorization.

834145728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2064 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 834145728 is about 28881.5811201534. The cubic root of 834145728 is about 941.3417266241.

The spelling of 834145728 in words is "eight hundred thirty-four million, one hundred forty-five thousand, seven hundred twenty-eight".