5827953792 has 64 divisors (see below), whose sum is σ = 15525216000. Its totient is φ = 1937040384.

The previous prime is 5827953757. The next prime is 5827953797. The reversal of 5827953792 is 2973597285.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (5827953797) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112273 + ... + 155759.

It is an arithmetic number, because the mean of its divisors is an integer number (242581500).

Almost surely, 2^5827953792 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 5827953792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7762608000).

5827953792 is an abundant number, since it is smaller than the sum of its proper divisors (9697262208).

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

5827953792 is a wasteful number, since it uses less digits than its factorization.

5827953792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43853 (or 43841 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 57.

The square root of 5827953792 is about 76341.0360946195. The cubic root of 5827953792 is about 1799.5836271496.

The spelling of 5827953792 in words is "five billion, eight hundred twenty-seven million, nine hundred fifty-three thousand, seven hundred ninety-two".