516893328 has 240 divisors, whose sum is σ = 1761851520. Its totient is φ = 138184704.

The previous prime is 516893327. The next prime is 516893339. The reversal of 516893328 is 823398615.

It is a happy number.

516893328 is a `hidden beast` number, since 516 + 89 + 33 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (516893327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2623726 + ... + 2623922.

It is an arithmetic number, because the mean of its divisors is an integer number (7341048).

Almost surely, 2^516893328 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 516893328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880925760).

516893328 is an abundant number, since it is smaller than the sum of its proper divisors (1244958192).

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

516893328 is a wasteful number, since it uses less digits than its factorization.

516893328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 365 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 516893328 is about 22735.2881661966. The cubic root of 516893328 is about 802.5405319150.

The spelling of 516893328 in words is "five hundred sixteen million, eight hundred ninety-three thousand, three hundred twenty-eight".