506824128 has 252 divisors, whose sum is σ = 1619749872. Its totient is φ = 156764160.

The previous prime is 506824093. The next prime is 506824141. The reversal of 506824128 is 821428605.

506824128 is a `hidden beast` number, since 506 + 8 + 24 + 128 = 666.

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 = 506824092 and 506824101.

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 35 ways as a sum of consecutive naturals, for example, 7138333 + ... + 7138403.

Almost surely, 2^506824128 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 506824128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809874936).

506824128 is an abundant number, since it is smaller than the sum of its proper divisors (1112925744).

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

506824128 is an frugal number, since it uses more digits than its factorization.

506824128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 506824128 is about 22512.7547847881. The cubic root of 506824128 is about 797.2950980224.

The spelling of 506824128 in words is "five hundred six million, eight hundred twenty-four thousand, one hundred twenty-eight".