827525728 has 48 divisors (see below), whose sum is σ = 1727853120. Its totient is φ = 388786176.

The previous prime is 827525693. The next prime is 827525731.

827525728 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 580825 + ... + 582247.

It is an arithmetic number, because the mean of its divisors is an integer number (35996940).

Almost surely, 2^827525728 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 827525728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863926560).

827525728 is an abundant number, since it is smaller than the sum of its proper divisors (900327392).

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

827525728 is a wasteful number, since it uses less digits than its factorization.

827525728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 2511 counting only the distinct ones).

The product of its digits is 627200, while the sum is 46.

The square root of 827525728 is about 28766.7469137544. The cubic root of 827525728 is about 938.8448644590.

The spelling of 827525728 in words is "eight hundred twenty-seven million, five hundred twenty-five thousand, seven hundred twenty-eight".