488779619328 has 1980 divisors, whose sum is σ = 2065881970152. Its totient is φ = 113148887040.

The previous prime is 488779619327. The next prime is 488779619351. The reversal of 488779619328 is 823916977884.

It is a super-3 number, since 3×488779619328³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (292626432) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488779619327) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 16854469618 + ... + 16854469646.

Almost surely, 2^488779619328 is an apocalyptic number.

488779619328 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 488779619328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032940985076).

488779619328 is an abundant number, since it is smaller than the sum of its proper divisors (1577102350824).

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

488779619328 is a wasteful number, since it uses less digits than its factorization.

488779619328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 65 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 72.

The spelling of 488779619328 in words is "four hundred eighty-eight billion, seven hundred seventy-nine million, six hundred nineteen thousand, three hundred twenty-eight".