506779728 has 160 divisors (see below), whose sum is σ = 1622729472. Its totient is φ = 132710400.

The previous prime is 506779717. The next prime is 506779739. The reversal of 506779728 is 827977605.

It is an interprime number because it is at equal distance from previous prime (506779717) and next prime (506779739).

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 31 ways as a sum of consecutive naturals, for example, 790288 + ... + 790928.

Almost surely, 2^506779728 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 506779728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811364736).

506779728 is an abundant number, since it is smaller than the sum of its proper divisors (1115949744).

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

506779728 is a wasteful number, since it uses less digits than its factorization.

506779728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 51.

The square root of 506779728 is about 22511.7686555277. The cubic root of 506779728 is about 797.2718151687.

The spelling of 506779728 in words is "five hundred six million, seven hundred seventy-nine thousand, seven hundred twenty-eight".