488636928 has 160 divisors (see below), whose sum is σ = 1558233600. Its totient is φ = 150294528.

The previous prime is 488636917. The next prime is 488636947. The reversal of 488636928 is 829636884.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a zygodrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178353 + ... + 181071.

It is an arithmetic number, because the mean of its divisors is an integer number (9738960).

Almost surely, 2^488636928 is an apocalyptic number.

488636928 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 488636928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779116800).

488636928 is an abundant number, since it is smaller than the sum of its proper divisors (1069596672).

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

488636928 is a wasteful number, since it uses less digits than its factorization.

488636928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2737 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 488636928 is about 22105.1335214244. The cubic root of 488636928 is about 787.6418102894.

It can be divided in two parts, 4886 and 36928, that added together give a palindrome (41814).

The spelling of 488636928 in words is "four hundred eighty-eight million, six hundred thirty-six thousand, nine hundred twenty-eight".