832928256 has 240 divisors, whose sum is σ = 2604476160. Its totient is φ = 255467520.

The previous prime is 832928249. The next prime is 832928269. The reversal of 832928256 is 652829238.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3073401 + ... + 3073671.

It is an arithmetic number, because the mean of its divisors is an integer number (10851984).

Almost surely, 2^832928256 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 832928256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302238080).

832928256 is an abundant number, since it is smaller than the sum of its proper divisors (1771547904).

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

832928256 is a wasteful number, since it uses less digits than its factorization.

832928256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 328 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 832928256 is about 28860.4964614263. The cubic root of 832928256 is about 940.8835272223.

It can be divided in two parts, 8329 and 28256, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 832928256 in words is "eight hundred thirty-two million, nine hundred twenty-eight thousand, two hundred fifty-six".