5028583680 has 504 divisors, whose sum is σ = 19181913912. Its totient is φ = 1258094592.

The previous prime is 5028583631. The next prime is 5028583691. The reversal of 5028583680 is 863858205.

It is a happy number.

5028583680 is a `hidden beast` number, since 5 + 0 + 2 + 8 + 583 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 191102976 + 4837480704 = 13824^2 + 69552^2 .

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 (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15862882 + ... + 15863198.

It is an arithmetic number, because the mean of its divisors is an integer number (38059353).

Almost surely, 2^5028583680 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 5028583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9590956956).

5028583680 is an abundant number, since it is smaller than the sum of its proper divisors (14153330232).

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

5028583680 is an equidigital number, since it uses as much as digits as its factorization.

5028583680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 5028583680 is about 70912.5072184026. The cubic root of 5028583680 is about 1713.2282506909.

The spelling of 5028583680 in words is "five billion, twenty-eight million, five hundred eighty-three thousand, six hundred eighty".