506028672 has 192 divisors, whose sum is σ = 1562028000. Its totient is φ = 156764160.

The previous prime is 506028661. The next prime is 506028703. The reversal of 506028672 is 276820605.

506028672 is a `hidden beast` number, since 506 + 0 + 2 + 86 + 72 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1334979 + ... + 1335357.

Almost surely, 2^506028672 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 506028672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781014000).

506028672 is an abundant number, since it is smaller than the sum of its proper divisors (1055999328).

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

506028672 is a wasteful number, since it uses less digits than its factorization.

506028672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 506028672 is about 22495.0810623123. The cubic root of 506028672 is about 796.8777637367.

The spelling of 506028672 in words is "five hundred six million, twenty-eight thousand, six hundred seventy-two".