4880821728 has 192 divisors, whose sum is σ = 13520908800. Its totient is φ = 1540331520.

The previous prime is 4880821619. The next prime is 4880821733. The reversal of 4880821728 is 8271280884.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 21313518 + ... + 21313746.

It is an arithmetic number, because the mean of its divisors is an integer number (70421400).

Almost surely, 2^4880821728 is an apocalyptic number.

4880821728 is a gapful number since it is divisible by the number (48) 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 4880821728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6760454400).

4880821728 is an abundant number, since it is smaller than the sum of its proper divisors (8640087072).

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

4880821728 is a wasteful number, since it uses less digits than its factorization.

4880821728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 48.

The square root of 4880821728 is about 69862.8780397716. The cubic root of 4880821728 is about 1696.2804174696.

The spelling of 4880821728 in words is "four billion, eight hundred eighty million, eight hundred twenty-one thousand, seven hundred twenty-eight".