505657728 has 112 divisors (see below), whose sum is σ = 1510635300. Its totient is φ = 168521472.

The previous prime is 505657687. The next prime is 505657751. The reversal of 505657728 is 827756505.

505657728 is a `hidden beast` number, since 5 + 0 + 56 + 577 + 28 = 666.

It is a super-2 number, since 2×505657728² = 511379475772243968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 90603 + ... + 96021.

Almost surely, 2^505657728 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 505657728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755317650).

505657728 is an abundant number, since it is smaller than the sum of its proper divisors (1004977572).

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

505657728 is an frugal number, since it uses more digits than its factorization.

505657728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5451 (or 5424 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The square root of 505657728 is about 22486.8345482418. The cubic root of 505657728 is about 796.6829992236.

The spelling of 505657728 in words is "five hundred five million, six hundred fifty-seven thousand, seven hundred twenty-eight".