501585028 has 48 divisors (see below), whose sum is σ = 1062006400. Its totient is φ = 202487040.

The previous prime is 501585023. The next prime is 501585059. The reversal of 501585028 is 820585105.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 501584984 and 501585002.

It is not an unprimeable number, because it can be changed into a prime (501585023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93688 + ... + 98896.

Almost surely, 2^501585028 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 501585028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531003200).

501585028 is an abundant number, since it is smaller than the sum of its proper divisors (560421372).

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

501585028 is a wasteful number, since it uses less digits than its factorization.

501585028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5420 (or 5418 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 34.

The square root of 501585028 is about 22396.0940344516. The cubic root of 501585028 is about 794.5383330132.

The spelling of 501585028 in words is "five hundred one million, five hundred eighty-five thousand, twenty-eight".