516313728 has 192 divisors, whose sum is σ = 1738651200. Its totient is φ = 143990784.

The previous prime is 516313727. The next prime is 516313769. The reversal of 516313728 is 827313615.

516313728 is a `hidden beast` number, since 516 + 3 + 137 + 2 + 8 = 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 a junction number, because it is equal to n+sod(n) for n = 516313692 and 516313701.

It is not an unprimeable number, because it can be changed into a prime (516313723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346008 + ... + 347496.

It is an arithmetic number, because the mean of its divisors is an integer number (9055475).

Almost surely, 2^516313728 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 516313728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869325600).

516313728 is an abundant number, since it is smaller than the sum of its proper divisors (1222337472).

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

516313728 is a wasteful number, since it uses less digits than its factorization.

516313728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1544 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 516313728 is about 22722.5378864246. The cubic root of 516313728 is about 802.2404529392.

The spelling of 516313728 in words is "five hundred sixteen million, three hundred thirteen thousand, seven hundred twenty-eight".