5827248000 has 1024 divisors, whose sum is σ = 25662873600. Its totient is φ = 1271808000.

The previous prime is 5827247999. The next prime is 5827248013. The reversal of 5827248000 is 8427285.

It is a happy number.

5827248000 is a `hidden beast` number, since 582 + 72 + 4 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 123983977 + ... + 123984023.

It is an arithmetic number, because the mean of its divisors is an integer number (25061400).

Almost surely, 2^5827248000 is an apocalyptic number.

5827248000 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 5827248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12831436800).

5827248000 is an abundant number, since it is smaller than the sum of its proper divisors (19835625600).

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

5827248000 is a wasteful number, since it uses less digits than its factorization.

5827248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 5827248000 is about 76336.4133294197. The cubic root of 5827248000 is about 1799.5109782663.

The spelling of 5827248000 in words is "five billion, eight hundred twenty-seven million, two hundred forty-eight thousand".