5385284352 has 432 divisors, whose sum is σ = 18749203200. Its totient is φ = 1509912576.

The previous prime is 5385284351. The next prime is 5385284407. The reversal of 5385284352 is 2534825835.

5385284352 is a `hidden beast` number, since 5 + 38 + 528 + 43 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 5385284298 and 5385284307.

It is not an unprimeable number, because it can be changed into a prime (5385284351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36142774 + ... + 36142922.

Almost surely, 2^5385284352 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 5385284352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374601600).

5385284352 is an abundant number, since it is smaller than the sum of its proper divisors (13363918848).

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

5385284352 is an equidigital number, since it uses as much as digits as its factorization.

5385284352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 244 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The square root of 5385284352 is about 73384.4966733438. The cubic root of 5385284352 is about 1752.8155332502.

The spelling of 5385284352 in words is "five billion, three hundred eighty-five million, two hundred eighty-four thousand, three hundred fifty-two".