827141728 has 48 divisors (see below), whose sum is σ = 1866170880. Its totient is φ = 353517696.

The previous prime is 827141719. The next prime is 827141753.

827141728 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80025 + ... + 89767.

It is an arithmetic number, because the mean of its divisors is an integer number (38878560).

Almost surely, 2^827141728 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 827141728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933085440).

827141728 is an abundant number, since it is smaller than the sum of its proper divisors (1039029152).

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

827141728 is a wasteful number, since it uses less digits than its factorization.

827141728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10139 (or 10131 counting only the distinct ones).

The product of its digits is 50176, while the sum is 40.

The square root of 827141728 is about 28760.0717662526. The cubic root of 827141728 is about 938.6996233730.

The spelling of 827141728 in words is "eight hundred twenty-seven million, one hundred forty-one thousand, seven hundred twenty-eight".