828707828 has 48 divisors (see below), whose sum is σ = 1631946960. Its totient is φ = 365568000.

The previous prime is 828707813. The next prime is 828707849.

It is a happy number.

828707828 is nontrivially palindromic in base 10.

828707828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 42354064 + 786353764 = 6508^2 + 28042^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149588 + ... + 155028.

It is an arithmetic number, because the mean of its divisors is an integer number (33998895).

Almost surely, 2^828707828 is an apocalyptic number.

It is an amenable number.

828707828 is a deficient number, since it is larger than the sum of its proper divisors (803239132).

828707828 is a wasteful number, since it uses less digits than its factorization.

828707828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5588 (or 5586 counting only the distinct ones).

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

The square root of 828707828 is about 28787.2858741494. The cubic root of 828707828 is about 939.2916906426.

The spelling of 828707828 in words is "eight hundred twenty-eight million, seven hundred seven thousand, eight hundred twenty-eight".