516697728 has 64 divisors (see below), whose sum is σ = 1453230720. Its totient is φ = 162099200.

The previous prime is 516697697. The next prime is 516697759. The reversal of 516697728 is 827796615.

It is an interprime number because it is at equal distance from previous prime (516697697) and next prime (516697759).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (51).

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 7 ways as a sum of consecutive naturals, for example, 33048 + ... + 46103.

It is an arithmetic number, because the mean of its divisors is an integer number (22706730).

Almost surely, 2^516697728 is an apocalyptic number.

It is an amenable number.

516697728 is an abundant number, since it is smaller than the sum of its proper divisors (936532992).

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

516697728 is a wasteful number, since it uses less digits than its factorization.

516697728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79185 (or 79173 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 51.

The square root of 516697728 is about 22730.9860762792. The cubic root of 516697728 is about 802.4392881158.

The spelling of 516697728 in words is "five hundred sixteen million, six hundred ninety-seven thousand, seven hundred twenty-eight".