827382528 has 324 divisors, whose sum is σ = 2869882288. Its totient is φ = 224501760.

The previous prime is 827382509. The next prime is 827382533. The reversal of 827382528 is 825283728.

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 35 ways as a sum of consecutive naturals, for example, 13563618 + ... + 13563678.

Almost surely, 2^827382528 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 827382528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434941144).

827382528 is an abundant number, since it is smaller than the sum of its proper divisors (2042499760).

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

827382528 is a wasteful number, since it uses less digits than its factorization.

827382528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 102 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 827382528 is about 28764.2578211224. The cubic root of 827382528 is about 938.7907068919.

The spelling of 827382528 in words is "eight hundred twenty-seven million, three hundred eighty-two thousand, five hundred twenty-eight".