832163328 has 160 divisors (see below), whose sum is σ = 2608895520. Its totient is φ = 260997120.

The previous prime is 832163257. The next prime is 832163333. The reversal of 832163328 is 823361238.

832163328 is a `hidden beast` number, since 8 + 321 + 6 + 3 + 328 = 666.

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 zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 832163292 and 832163301.

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, 233238 + ... + 236778.

It is an arithmetic number, because the mean of its divisors is an integer number (16305597).

Almost surely, 2^832163328 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 832163328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304447760).

832163328 is an abundant number, since it is smaller than the sum of its proper divisors (1776732192).

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

832163328 is a wasteful number, since it uses less digits than its factorization.

832163328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3585 (or 3563 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 832163328 is about 28847.2412545810. The cubic root of 832163328 is about 940.5954157397.

The spelling of 832163328 in words is "eight hundred thirty-two million, one hundred sixty-three thousand, three hundred twenty-eight".