505287328 has 192 divisors, whose sum is σ = 1325963520. Its totient is φ = 183877632.

The previous prime is 505287313. The next prime is 505287331. The reversal of 505287328 is 823782505.

It is a super-3 number, since 3×505287328³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2920650 + ... + 2920822.

It is an arithmetic number, because the mean of its divisors is an integer number (6906060).

Almost surely, 2^505287328 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 505287328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662981760).

505287328 is an abundant number, since it is smaller than the sum of its proper divisors (820676192).

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

505287328 is a wasteful number, since it uses less digits than its factorization.

505287328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 505287328 is about 22478.5971092504. The cubic root of 505287328 is about 796.4884252734.

The spelling of 505287328 in words is "five hundred five million, two hundred eighty-seven thousand, three hundred twenty-eight".