488278728 has 72 divisors (see below), whose sum is σ = 1538338230. Its totient is φ = 139507200.

The previous prime is 488278727. The next prime is 488278733. The reversal of 488278728 is 827872884.

It can be written as a sum of positive squares in only one way, i.e., 425266884 + 63011844 = 20622^2 + 7938^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×488278728² = 476832232434595968, which contains 22 as substring.

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 (488278727) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 65673 + ... + 72728.

Almost surely, 2^488278728 is an apocalyptic number.

It is an amenable number.

488278728 is an abundant number, since it is smaller than the sum of its proper divisors (1050059502).

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

488278728 is a wasteful number, since it uses less digits than its factorization.

488278728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138427 (or 138413 counting only the distinct ones).

The product of its digits is 3211264, while the sum is 54.

The square root of 488278728 is about 22097.0298456603. The cubic root of 488278728 is about 787.4493004397.

The spelling of 488278728 in words is "four hundred eighty-eight million, two hundred seventy-eight thousand, seven hundred twenty-eight".