488953728 has 96 divisors (see below), whose sum is σ = 1489840560. Its totient is φ = 153391104.

The previous prime is 488953679. The next prime is 488953763. The reversal of 488953728 is 827359884.

It is a happy number.

488953728 is a `hidden beast` number, since 4 + 8 + 89 + 537 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 7101 + ... + 32067.

Almost surely, 2^488953728 is an apocalyptic number.

488953728 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 488953728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744920280).

488953728 is an abundant number, since it is smaller than the sum of its proper divisors (1000886832).

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

488953728 is a wasteful number, since it uses less digits than its factorization.

488953728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25004 (or 24989 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 488953728 is about 22112.2981166590. The cubic root of 488953728 is about 787.8119918738.

The spelling of 488953728 in words is "four hundred eighty-eight million, nine hundred fifty-three thousand, seven hundred twenty-eight".