5827791200 has 288 divisors, whose sum is σ = 17953850880. Its totient is φ = 1794355200.

The previous prime is 5827791187. The next prime is 5827791223. The reversal of 5827791200 is 21977285.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5481869 + ... + 5482931.

It is an arithmetic number, because the mean of its divisors is an integer number (62339760).

Almost surely, 2^5827791200 is an apocalyptic number.

5827791200 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 5827791200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8976925440).

5827791200 is an abundant number, since it is smaller than the sum of its proper divisors (12126059680).

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

5827791200 is a wasteful number, since it uses less digits than its factorization.

5827791200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 41.

The square root of 5827791200 is about 76339.9711815508. The cubic root of 5827791200 is about 1799.5668916805.

The spelling of 5827791200 in words is "five billion, eight hundred twenty-seven million, seven hundred ninety-one thousand, two hundred".