500135328 has 288 divisors, whose sum is σ = 1868106240. Its totient is φ = 122964480.

The previous prime is 500135323. The next prime is 500135381. The reversal of 500135328 is 823531005.

500135328 is a `hidden beast` number, since 500 + 135 + 3 + 28 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (500135323) 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 47 ways as a sum of consecutive naturals, for example, 420751 + ... + 421937.

It is an arithmetic number, because the mean of its divisors is an integer number (6486480).

Almost surely, 2^500135328 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 500135328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934053120).

500135328 is an abundant number, since it is smaller than the sum of its proper divisors (1367970912).

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

500135328 is a wasteful number, since it uses less digits than its factorization.

500135328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 500135328 is about 22363.7055963452. The cubic root of 500135328 is about 793.7721261280.

The spelling of 500135328 in words is "five hundred million, one hundred thirty-five thousand, three hundred twenty-eight".