5827092480 has 448 divisors, whose sum is σ = 22647859200. Its totient is φ = 1409679360.

The previous prime is 5827092451. The next prime is 5827092493. The reversal of 5827092480 is 842907285.

5827092480 is a `hidden beast` number, since 5 + 82 + 7 + 0 + 92 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12164881 + ... + 12165359.

Almost surely, 2^5827092480 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 5827092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11323929600).

5827092480 is an abundant number, since it is smaller than the sum of its proper divisors (16820766720).

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

5827092480 is a wasteful number, since it uses less digits than its factorization.

5827092480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 5827092480 is about 76335.3946737685. The cubic root of 5827092480 is about 1799.4949694267.

The spelling of 5827092480 in words is "five billion, eight hundred twenty-seven million, ninety-two thousand, four hundred eighty".