825238528 has 88 divisors (see below), whose sum is σ = 1769787072. Its totient is φ = 383606784.

The previous prime is 825238511. The next prime is 825238541. The reversal of 825238528 is 825832528.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 870951 + ... + 871897.

Almost surely, 2^825238528 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 825238528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884893536).

825238528 is an abundant number, since it is smaller than the sum of its proper divisors (944548544).

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

825238528 is a wasteful number, since it uses less digits than its factorization.

825238528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1009 counting only the distinct ones).

The product of its digits is 307200, while the sum is 43.

The square root of 825238528 is about 28726.9651721166. The cubic root of 825238528 is about 937.9791079524.

The spelling of 825238528 in words is "eight hundred twenty-five million, two hundred thirty-eight thousand, five hundred twenty-eight".