832528284 has 96 divisors (see below), whose sum is σ = 2364526080. Its totient is φ = 222554112.

The previous prime is 832528283. The next prime is 832528327. The reversal of 832528284 is 482825238.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (832528283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253984 + ... + 257240.

It is an arithmetic number, because the mean of its divisors is an integer number (24630480).

Almost surely, 2^832528284 is an apocalyptic number.

832528284 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 832528284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182263040).

832528284 is an abundant number, since it is smaller than the sum of its proper divisors (1531997796).

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

832528284 is a wasteful number, since it uses less digits than its factorization.

832528284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467 (or 3465 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 832528284 is about 28853.5662267249. The cubic root of 832528284 is about 940.7328990752.

The spelling of 832528284 in words is "eight hundred thirty-two million, five hundred twenty-eight thousand, two hundred eighty-four".