834143328 has 72 divisors (see below), whose sum is σ = 2387928816. Its totient is φ = 276192000.

The previous prime is 834143311. The next prime is 834143329. The reversal of 834143328 is 823341438.

It is a happy number.

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

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 = 834143292 and 834143301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834143329) 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, 33898 + ... + 53078.

It is an arithmetic number, because the mean of its divisors is an integer number (33165678).

Almost surely, 2^834143328 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 834143328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193964408).

834143328 is an abundant number, since it is smaller than the sum of its proper divisors (1553785488).

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

834143328 is a wasteful number, since it uses less digits than its factorization.

834143328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19348 (or 19337 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 834143328 is about 28881.5395711517. The cubic root of 834143328 is about 941.3408238153.

The spelling of 834143328 in words is "eight hundred thirty-four million, one hundred forty-three thousand, three hundred twenty-eight".