505802528 has 96 divisors (see below), whose sum is σ = 1251790848. Its totient is φ = 195436800.

The previous prime is 505802503. The next prime is 505802537. The reversal of 505802528 is 825208505.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322001 + ... + 323567.

It is an arithmetic number, because the mean of its divisors is an integer number (13039488).

Almost surely, 2^505802528 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 505802528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625895424).

505802528 is an abundant number, since it is smaller than the sum of its proper divisors (745988320).

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

505802528 is a wasteful number, since it uses less digits than its factorization.

505802528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 35.

The square root of 505802528 is about 22490.0539794817. The cubic root of 505802528 is about 796.7590379366.

The spelling of 505802528 in words is "five hundred five million, eight hundred two thousand, five hundred twenty-eight".