728642484 has 54 divisors (see below), whose sum is σ = 1925458626. Its totient is φ = 232314720.

The previous prime is 728642483. The next prime is 728642489. The reversal of 728642484 is 484246827.

728642484 is a `hidden beast` number, since 72 + 86 + 424 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 716739984 + 11902500 = 26772^2 + 3450^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728642483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 87 + ... + 38174.

Almost surely, 2^728642484 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 728642484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962729313).

728642484 is an abundant number, since it is smaller than the sum of its proper divisors (1196816142).

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

728642484 is a wasteful number, since it uses less digits than its factorization.

728642484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38317 (or 38289 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 728642484 is about 26993.3785214078. The cubic root of 728642484 is about 899.8528500164.

It can be divided in two parts, 7286 and 42484, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 728642484 in words is "seven hundred twenty-eight million, six hundred forty-two thousand, four hundred eighty-four".