505600128 has 192 divisors, whose sum is σ = 1681261920. Its totient is φ = 144138240.

The previous prime is 505600057. The next prime is 505600171. The reversal of 505600128 is 821006505.

505600128 is a `hidden beast` number, since 50 + 5 + 600 + 1 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214251 + ... + 216597.

Almost surely, 2^505600128 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 505600128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840630960).

505600128 is an abundant number, since it is smaller than the sum of its proper divisors (1175661792).

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

505600128 is a wasteful number, since it uses less digits than its factorization.

505600128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 505600128 is about 22485.5537623604. The cubic root of 505600128 is about 796.6527477440.

The spelling of 505600128 in words is "five hundred five million, six hundred thousand, one hundred twenty-eight".