4928683590 has 192 divisors, whose sum is σ = 13501313280. Its totient is φ = 1246452480.

The previous prime is 4928683567. The next prime is 4928683637. The reversal of 4928683590 is 953868294.

4928683590 is a `hidden beast` number, since 4 + 9 + 286 + 8 + 359 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23358585 + ... + 23358795.

It is an arithmetic number, because the mean of its divisors is an integer number (70319340).

Almost surely, 2^4928683590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4928683590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6750656640).

4928683590 is an abundant number, since it is smaller than the sum of its proper divisors (8572629690).

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

4928683590 is a wasteful number, since it uses less digits than its factorization.

4928683590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 4928683590 is about 70204.5838247048. The cubic root of 4928683590 is about 1701.8070277760.

The spelling of 4928683590 in words is "four billion, nine hundred twenty-eight million, six hundred eighty-three thousand, five hundred ninety".