828007733 has 12 divisors (see below), whose sum is σ = 963734112. Its totient is φ = 709322040.

The previous prime is 828007727. The next prime is 828007753. The reversal of 828007733 is 337700828.

828007733 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 828007733 - 2¹² = 828003637 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828007703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112616 + ... + 119742.

It is an arithmetic number, because the mean of its divisors is an integer number (80311176).

Almost surely, 2^828007733 is an apocalyptic number.

It is an amenable number.

828007733 is a deficient number, since it is larger than the sum of its proper divisors (135726379).

828007733 is a wasteful number, since it uses less digits than its factorization.

828007733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9512 (or 9505 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 828007733 is about 28775.1235097262. The cubic root of 828007733 is about 939.0271105900.

The spelling of 828007733 in words is "eight hundred twenty-eight million, seven thousand, seven hundred thirty-three".