5828206956 has 144 divisors (see below), whose sum is σ = 16541973504. Its totient is φ = 1572912000.

The previous prime is 5828206913. The next prime is 5828206961. The reversal of 5828206956 is 6596028285.

It is a junction number, because it is equal to n+sod(n) for n = 5828206899 and 5828206908.

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 47 ways as a sum of consecutive naturals, for example, 17607711 + ... + 17608041.

It is an arithmetic number, because the mean of its divisors is an integer number (114874816).

Almost surely, 2^5828206956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5828206956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8270986752).

5828206956 is an abundant number, since it is smaller than the sum of its proper divisors (10713766548).

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

5828206956 is a wasteful number, since it uses less digits than its factorization.

5828206956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The square root of 5828206956 is about 76342.6941887696. The cubic root of 5828206956 is about 1799.6096845052.

The spelling of 5828206956 in words is "five billion, eight hundred twenty-eight million, two hundred six thousand, nine hundred fifty-six".