488929728 has 112 divisors (see below), whose sum is σ = 1490252544. Its totient is φ = 138577920.

The previous prime is 488929711. The next prime is 488929733. The reversal of 488929728 is 827929884.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174676 + ... + 177452.

Almost surely, 2^488929728 is an apocalyptic number.

488929728 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 488929728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745126272).

488929728 is an abundant number, since it is smaller than the sum of its proper divisors (1001322816).

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

488929728 is a wasteful number, since it uses less digits than its factorization.

488929728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2920 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 57.

The square root of 488929728 is about 22111.7554255649. The cubic root of 488929728 is about 787.7991019034.

The spelling of 488929728 in words is "four hundred eighty-eight million, nine hundred twenty-nine thousand, seven hundred twenty-eight".