827032728 has 64 divisors (see below), whose sum is σ = 2202046560. Its totient is φ = 257939456.

The previous prime is 827032721. The next prime is 827032733. The reversal of 827032728 is 827230728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827032721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64726 + ... + 76442.

Almost surely, 2^827032728 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 827032728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101023280).

827032728 is an abundant number, since it is smaller than the sum of its proper divisors (1375013832).

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

827032728 is a wasteful number, since it uses less digits than its factorization.

827032728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11916 (or 11912 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 827032728 is about 28758.1767155013. The cubic root of 827032728 is about 938.6583878949.

The spelling of 827032728 in words is "eight hundred twenty-seven million, thirty-two thousand, seven hundred twenty-eight".