4828680960 has 288 divisors, whose sum is σ = 16123726080. Its totient is φ = 1230028800.

The previous prime is 4828680959. The next prime is 4828680977. The reversal of 4828680960 is 690868284.

It is a happy number.

It is a super-3 number, since 3×4828680960³ (a number of 30 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 14587995 + ... + 14588325.

It is an arithmetic number, because the mean of its divisors is an integer number (55985160).

Almost surely, 2^4828680960 is an apocalyptic number.

4828680960 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 4828680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8061863040).

4828680960 is an abundant number, since it is smaller than the sum of its proper divisors (11295045120).

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

4828680960 is a wasteful number, since it uses less digits than its factorization.

4828680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 4828680960 is about 69488.7110256047. The cubic root of 4828680960 is about 1690.2184468394.

The spelling of 4828680960 in words is "four billion, eight hundred twenty-eight million, six hundred eighty thousand, nine hundred sixty".