5828861952 has 336 divisors, whose sum is σ = 18476092080. Its totient is φ = 1815478272.

The previous prime is 5828861939. The next prime is 5828861953. The reversal of 5828861952 is 2591688285.

It is a happy number.

5828861952 is a `hidden beast` number, since 582 + 8 + 8 + 6 + 1 + 9 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5828861953) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 79847388 + ... + 79847460.

Almost surely, 2^5828861952 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 5828861952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9238046040).

5828861952 is an abundant number, since it is smaller than the sum of its proper divisors (12647230128).

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

5828861952 is an equidigital number, since it uses as much as digits as its factorization.

5828861952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 97 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The square root of 5828861952 is about 76346.9839089928. The cubic root of 5828861952 is about 1799.6770976335.

The spelling of 5828861952 in words is "five billion, eight hundred twenty-eight million, eight hundred sixty-one thousand, nine hundred fifty-two".