4828027680 has 480 divisors, whose sum is σ = 20505260160. Its totient is φ = 1045094400.

The previous prime is 4828027679. The next prime is 4828027691. The reversal of 4828027680 is 867208284.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 1722280 + ... + 1725080.

It is an arithmetic number, because the mean of its divisors is an integer number (42719292).

Almost surely, 2^4828027680 is an apocalyptic number.

4828027680 is a gapful number since it is divisible by the number (40) 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 4828027680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10252630080).

4828027680 is an abundant number, since it is smaller than the sum of its proper divisors (15677232480).

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

4828027680 is a wasteful number, since it uses less digits than its factorization.

4828027680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 4828027680 is about 69484.0102469626. The cubic root of 4828027680 is about 1690.1422192792.

The spelling of 4828027680 in words is "four billion, eight hundred twenty-eight million, twenty-seven thousand, six hundred eighty".