516716928 has 512 divisors, whose sum is σ = 1974067200. Its totient is φ = 129392640.

The previous prime is 516716923. The next prime is 516716933. The reversal of 516716928 is 829617615.

516716928 is a `hidden beast` number, since 516 + 71 + 69 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (516716923) and next prime (516716933).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516716923) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9749350 + ... + 9749402.

It is an arithmetic number, because the mean of its divisors is an integer number (3855600).

Almost surely, 2^516716928 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 516716928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987033600).

516716928 is an abundant number, since it is smaller than the sum of its proper divisors (1457350272).

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

516716928 is a wasteful number, since it uses less digits than its factorization.

516716928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 109 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 516716928 is about 22731.4084033524. The cubic root of 516716928 is about 802.4492272883.

The spelling of 516716928 in words is "five hundred sixteen million, seven hundred sixteen thousand, nine hundred twenty-eight".