4928128590 has 128 divisors (see below), whose sum is σ = 15221882880. Its totient is φ = 990979200.

The previous prime is 4928128549. The next prime is 4928128607. The reversal of 4928128590 is 958218294.

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 37201 + ... + 106019.

It is an arithmetic number, because the mean of its divisors is an integer number (118920960).

Almost surely, 2^4928128590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4928128590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7610941440).

4928128590 is an abundant number, since it is smaller than the sum of its proper divisors (10293754290).

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

4928128590 is a wasteful number, since it uses less digits than its factorization.

4928128590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68878.

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 4928128590 is about 70200.6309800703. The cubic root of 4928128590 is about 1701.7431474086.

The spelling of 4928128590 in words is "four billion, nine hundred twenty-eight million, one hundred twenty-eight thousand, five hundred ninety".