505530828 has 96 divisors (see below), whose sum is σ = 1438295040. Its totient is φ = 152280000.

The previous prime is 505530827. The next prime is 505530881. The reversal of 505530828 is 828035505.

It is a super-2 number, since 2×505530828² = 511122836116731168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 505530792 and 505530801.

It is not an unprimeable number, because it can be changed into a prime (505530827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213853 + ... + 216203.

It is an arithmetic number, because the mean of its divisors is an integer number (14982240).

Almost surely, 2^505530828 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 505530828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719147520).

505530828 is an abundant number, since it is smaller than the sum of its proper divisors (932764212).

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

505530828 is a wasteful number, since it uses less digits than its factorization.

505530828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 505530828 is about 22484.0127201530. The cubic root of 505530828 is about 796.6163483875.

The spelling of 505530828 in words is "five hundred five million, five hundred thirty thousand, eight hundred twenty-eight".