505508328 has 96 divisors (see below), whose sum is σ = 1561177800. Its totient is φ = 146386944.

The previous prime is 505508327. The next prime is 505508363. The reversal of 505508328 is 823805505.

505508328 is a `hidden beast` number, since 5 + 0 + 550 + 83 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 361076004 + 144432324 = 19002^2 + 12018^2 .

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 = 505508292 and 505508301.

It is not an unprimeable number, because it can be changed into a prime (505508321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28 + ... + 31796.

Almost surely, 2^505508328 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 505508328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780588900).

505508328 is an abundant number, since it is smaller than the sum of its proper divisors (1055669472).

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

505508328 is a wasteful number, since it uses less digits than its factorization.

505508328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31811 (or 31804 counting only the distinct ones).

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

The square root of 505508328 is about 22483.5123590599. The cubic root of 505508328 is about 796.6045296993.

The spelling of 505508328 in words is "five hundred five million, five hundred eight thousand, three hundred twenty-eight".