827040728 has 32 divisors (see below), whose sum is σ = 1567019520. Its totient is φ = 409188000.

The previous prime is 827040727. The next prime is 827040737.

827040728 is nontrivially palindromic in base 10.

827040728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 827040691 and 827040700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827040727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 450773 + ... + 452603.

It is an arithmetic number, because the mean of its divisors is an integer number (48969360).

Almost surely, 2^827040728 is an apocalyptic number.

It is an amenable number.

827040728 is a deficient number, since it is larger than the sum of its proper divisors (739978792).

827040728 is a wasteful number, since it uses less digits than its factorization.

827040728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The square root of 827040728 is about 28758.3158060412. The cubic root of 827040728 is about 938.6614144752.

The spelling of 827040728 in words is "eight hundred twenty-seven million, forty thousand, seven hundred twenty-eight".