5825748384 has 288 divisors, whose sum is σ = 18657475200. Its totient is φ = 1715281920.

The previous prime is 5825748373. The next prime is 5825748421. The reversal of 5825748384 is 4838475285.

5825748384 is a `hidden beast` number, since 5 + 8 + 257 + 4 + 8 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5825748384² = 67878688467357222912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5825748384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5159532 + ... + 5160660.

It is an arithmetic number, because the mean of its divisors is an integer number (64782900).

Almost surely, 2^5825748384 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 5825748384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9328737600).

5825748384 is an abundant number, since it is smaller than the sum of its proper divisors (12831726816).

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

5825748384 is a wasteful number, since it uses less digits than its factorization.

5825748384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1217 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 54.

The square root of 5825748384 is about 76326.5902815002. The cubic root of 5825748384 is about 1799.3565996770.

The spelling of 5825748384 in words is "five billion, eight hundred twenty-five million, seven hundred forty-eight thousand, three hundred eighty-four".