5785547328 has 504 divisors, whose sum is σ = 20070348480. Its totient is φ = 1575383040.

The previous prime is 5785547311. The next prime is 5785547353. The reversal of 5785547328 is 8237455875.

5785547328 is a `hidden beast` number, since 5 + 78 + 5 + 547 + 3 + 28 = 666.

Its product of digits (9408000) is a multiple of the sum of its prime divisors (105).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 156366126 + ... + 156366162.

It is an arithmetic number, because the mean of its divisors is an integer number (39822120).

Almost surely, 2^5785547328 is an apocalyptic number.

5785547328 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5785547328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10035174240).

5785547328 is an abundant number, since it is smaller than the sum of its proper divisors (14284801152).

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

5785547328 is a wasteful number, since it uses less digits than its factorization.

5785547328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 105 counting only the distinct ones).

The product of its digits is 9408000, while the sum is 54.

The square root of 5785547328 is about 76062.7854341399. The cubic root of 5785547328 is about 1795.2081733926.

It can be divided in two parts, 5785547 and 328, that added together give a palindrome (5785875).

The spelling of 5785547328 in words is "five billion, seven hundred eighty-five million, five hundred forty-seven thousand, three hundred twenty-eight".