827821728 has 192 divisors, whose sum is σ = 2493590400. Its totient is φ = 267079680.

The previous prime is 827821717. The next prime is 827821747. The reversal of 827821728 is 827128728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5955483 + ... + 5955621.

It is an arithmetic number, because the mean of its divisors is an integer number (12987450).

Almost surely, 2^827821728 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 827821728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246795200).

827821728 is an abundant number, since it is smaller than the sum of its proper divisors (1665768672).

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

827821728 is a wasteful number, since it uses less digits than its factorization.

827821728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 318 counting only the distinct ones).

The product of its digits is 200704, while the sum is 45.

The square root of 827821728 is about 28771.8912829866. The cubic root of 827821728 is about 938.9567904664.

The spelling of 827821728 in words is "eight hundred twenty-seven million, eight hundred twenty-one thousand, seven hundred twenty-eight".