4827880320 has 512 divisors, whose sum is σ = 17449344000. Its totient is φ = 1128923136.

The previous prime is 4827880307. The next prime is 4827880327. The reversal of 4827880320 is 230887284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4827880327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44292426 + ... + 44292534.

It is an arithmetic number, because the mean of its divisors is an integer number (34080750).

Almost surely, 2^4827880320 is an apocalyptic number.

4827880320 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 4827880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8724672000).

4827880320 is an abundant number, since it is smaller than the sum of its proper divisors (12621463680).

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

4827880320 is a wasteful number, since it uses less digits than its factorization.

4827880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 4827880320 is about 69482.9498510246. The cubic root of 4827880320 is about 1690.1250237211.

The spelling of 4827880320 in words is "four billion, eight hundred twenty-seven million, eight hundred eighty thousand, three hundred twenty".