506888928 has 360 divisors, whose sum is σ = 1873611432. Its totient is φ = 133249536.

The previous prime is 506888917. The next prime is 506888929. The reversal of 506888928 is 829888605.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506888929) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 1650951 + ... + 1651257.

Almost surely, 2^506888928 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 506888928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936805716).

506888928 is an abundant number, since it is smaller than the sum of its proper divisors (1366722504).

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

506888928 is a wasteful number, since it uses less digits than its factorization.

506888928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The square root of 506888928 is about 22514.1939229456. The cubic root of 506888928 is about 797.3290759632.

The spelling of 506888928 in words is "five hundred six million, eight hundred eighty-eight thousand, nine hundred twenty-eight".