5827862304 has 192 divisors, whose sum is σ = 19045514880. Its totient is φ = 1718184960.

The previous prime is 5827862297. The next prime is 5827862323. The reversal of 5827862304 is 4032687285.

5827862304 is a `hidden beast` number, since 582 + 7 + 8 + 62 + 3 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5827862304.

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 31 ways as a sum of consecutive naturals, for example, 343362 + ... + 359934.

It is an arithmetic number, because the mean of its divisors is an integer number (99195390).

Almost surely, 2^5827862304 is an apocalyptic number.

5827862304 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5827862304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9522757440).

5827862304 is an abundant number, since it is smaller than the sum of its proper divisors (13217652576).

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

5827862304 is a wasteful number, since it uses less digits than its factorization.

5827862304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16640 (or 16626 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 5827862304 is about 76340.4368863579. The cubic root of 5827862304 is about 1799.5742103986.

The spelling of 5827862304 in words is "five billion, eight hundred twenty-seven million, eight hundred sixty-two thousand, three hundred four".