488182288 has 80 divisors (see below), whose sum is σ = 1079127360. Its totient is φ = 211904000.

The previous prime is 488182283. The next prime is 488182309. The reversal of 488182288 is 882281884.

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

It is not an unprimeable number, because it can be changed into a prime (488182283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515031 + ... + 515977.

It is an arithmetic number, because the mean of its divisors is an integer number (13489092).

Almost surely, 2^488182288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488182288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539563680).

488182288 is an abundant number, since it is smaller than the sum of its proper divisors (590945072).

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

488182288 is a wasteful number, since it uses less digits than its factorization.

488182288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1090 counting only the distinct ones).

The product of its digits is 524288, while the sum is 49.

The square root of 488182288 is about 22094.8475441674. The cubic root of 488182288 is about 787.3974539523.

The spelling of 488182288 in words is "four hundred eighty-eight million, one hundred eighty-two thousand, two hundred eighty-eight".