5827689600 has 192 divisors, whose sum is σ = 19522188000. Its totient is φ = 1527562240.

The previous prime is 5827689589. The next prime is 5827689613. The reversal of 5827689600 is 69867285.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 561256 + ... + 571544.

Almost surely, 2^5827689600 is an apocalyptic number.

5827689600 is a gapful number since it is divisible by the number (50) 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 5827689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9761094000).

5827689600 is an abundant number, since it is smaller than the sum of its proper divisors (13694498400).

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

5827689600 is a wasteful number, since it uses less digits than its factorization.

5827689600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10375 (or 10358 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 5827689600 is about 76339.3057343332. The cubic root of 5827689600 is about 1799.5564339128.

The spelling of 5827689600 in words is "five billion, eight hundred twenty-seven million, six hundred eighty-nine thousand, six hundred".