5083827840 has 1024 divisors, whose sum is σ = 22948531200. Its totient is φ = 1035141120.

The previous prime is 5083827817. The next prime is 5083827863. The reversal of 5083827840 is 487283805.

5083827840 is a `hidden beast` number, since 508 + 38 + 2 + 78 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5083827817) and next prime (5083827863).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 83341410 + ... + 83341470.

It is an arithmetic number, because the mean of its divisors is an integer number (22410675).

Almost surely, 2^5083827840 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 5083827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11474265600).

5083827840 is an abundant number, since it is smaller than the sum of its proper divisors (17864703360).

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

5083827840 is a wasteful number, since it uses less digits than its factorization.

5083827840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 5083827840 is about 71300.9666133637. The cubic root of 5083827840 is about 1719.4792726892.

The spelling of 5083827840 in words is "five billion, eighty-three million, eight hundred twenty-seven thousand, eight hundred forty".