502489728 has 288 divisors, whose sum is σ = 1637941500. Its totient is φ = 147603456.

The previous prime is 502489703. The next prime is 502489747. The reversal of 502489728 is 827984205.

It can be written as a sum of positive squares in 6 ways, for example, as 28643904 + 473845824 = 5352^2 + 21768^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5645908 + ... + 5645996.

Almost surely, 2^502489728 is an apocalyptic number.

502489728 is a gapful number since it is divisible by the number (58) 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 502489728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818970750).

502489728 is an abundant number, since it is smaller than the sum of its proper divisors (1135451772).

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

502489728 is a wasteful number, since it uses less digits than its factorization.

502489728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 502489728 is about 22416.2826534642. The cubic root of 502489728 is about 795.0157443185.

The spelling of 502489728 in words is "five hundred two million, four hundred eighty-nine thousand, seven hundred twenty-eight".