501732728 has 64 divisors (see below), whose sum is σ = 1108700160. Its totient is φ = 208365696.

The previous prime is 501732689. The next prime is 501732767. The reversal of 501732728 is 827237105.

It is an interprime number because it is at equal distance from previous prime (501732689) and next prime (501732767).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 959075 + ... + 959597.

It is an arithmetic number, because the mean of its divisors is an integer number (17323440).

Almost surely, 2^501732728 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 501732728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554350080).

501732728 is an abundant number, since it is smaller than the sum of its proper divisors (606967432).

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

501732728 is a wasteful number, since it uses less digits than its factorization.

501732728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 501732728 is about 22399.3912417280. The cubic root of 501732728 is about 794.6163136734.

The spelling of 501732728 in words is "five hundred one million, seven hundred thirty-two thousand, seven hundred twenty-eight".