827728 has 20 divisors (see below), whose sum is σ = 1749888. Its totient is φ = 376160.

The previous prime is 827719. The next prime is 827737.

827728 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (827719) and next prime (827737).

It is a d-powerful number, because it can be written as 8 + 2⁴ + 7² + 7⁷ + 2⁴ + 8⁴ .

It is a junction number, because it is equal to n+sod(n) for n = 827693 and 827702.

It is a congruent number.

It is an unprimeable number.

827728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2176 + ... + 2527.

2⁸²⁷⁷²⁸ is an apocalyptic number.

827728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

827728 is an abundant number, since it is smaller than the sum of its proper divisors (922160).

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

827728 is a wasteful number, since it uses less digits than its factorization.

827728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4722 (or 4716 counting only the distinct ones).

The product of its digits is 12544, while the sum is 34.

The square root of 827728 is about 909.7955814357. The cubic root of 827728 is about 93.8921352134.

The spelling of 827728 in words is "eight hundred twenty-seven thousand, seven hundred twenty-eight".