488828740920 has 256 divisors, whose sum is σ = 1638512064000. Its totient is φ = 115839338496.

The previous prime is 488828740909. The next prime is 488828740927. The reversal of 488828740920 is 29047828884.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488828740927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15682711 + ... + 15713849.

It is an arithmetic number, because the mean of its divisors is an integer number (6400437750).

Almost surely, 2^488828740920 is an apocalyptic number.

488828740920 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 488828740920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819256032000).

488828740920 is an abundant number, since it is smaller than the sum of its proper divisors (1149683323080).

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

488828740920 is a wasteful number, since it uses less digits than its factorization.

488828740920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31542 (or 31538 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 60.

The spelling of 488828740920 in words is "four hundred eighty-eight billion, eight hundred twenty-eight million, seven hundred forty thousand, nine hundred twenty".