488871019728 has 960 divisors, whose sum is σ = 1819155566592. Its totient is φ = 123664527360.

The previous prime is 488871019723. The next prime is 488871019751. The reversal of 488871019728 is 827910178884.

488871019728 is a `hidden beast` number, since 488 + 8 + 71 + 0 + 19 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488871019723) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 971910325 + ... + 971910827.

Almost surely, 2^488871019728 is an apocalyptic number.

488871019728 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 488871019728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909577783296).

488871019728 is an abundant number, since it is smaller than the sum of its proper divisors (1330284546864).

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

488871019728 is a wasteful number, since it uses less digits than its factorization.

488871019728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 63.

The spelling of 488871019728 in words is "four hundred eighty-eight billion, eight hundred seventy-one million, nineteen thousand, seven hundred twenty-eight".