827808728 has 32 divisors (see below), whose sum is σ = 1562652000. Its totient is φ = 411113472.

The previous prime is 827808713. The next prime is 827808743.

It is a happy number.

827808728 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (827808713) and next prime (827808743).

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1138301 + ... + 1139027.

It is an arithmetic number, because the mean of its divisors is an integer number (48832875).

Almost surely, 2^827808728 is an apocalyptic number.

It is an amenable number.

827808728 is a deficient number, since it is larger than the sum of its proper divisors (734843272).

827808728 is a wasteful number, since it uses less digits than its factorization.

827808728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 50.

The square root of 827808728 is about 28771.6653671629. The cubic root of 827808728 is about 938.9518753574.

The spelling of 827808728 in words is "eight hundred twenty-seven million, eight hundred eight thousand, seven hundred twenty-eight".