827404728 has 64 divisors (see below), whose sum is σ = 2095632000. Its totient is φ = 272211072.

The previous prime is 827404717. The next prime is 827404733.

827404728 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 827404728.

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 15 ways as a sum of consecutive naturals, for example, 656563 + ... + 657821.

It is an arithmetic number, because the mean of its divisors is an integer number (32744250).

Almost surely, 2^827404728 is an apocalyptic number.

It is an amenable number.

827404728 is an abundant number, since it is smaller than the sum of its proper divisors (1268227272).

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

827404728 is a wasteful number, since it uses less digits than its factorization.

827404728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

The square root of 827404728 is about 28764.6437141154. The cubic root of 827404728 is about 938.7991032369.

The spelling of 827404728 in words is "eight hundred twenty-seven million, four hundred four thousand, seven hundred twenty-eight".