512820746928 has 480 divisors, whose sum is σ = 1735713907200. Its totient is φ = 138259021824.

The previous prime is 512820746917. The next prime is 512820746959. The reversal of 512820746928 is 829647028215.

512820746928 is a `hidden beast` number, since 512 + 82 + 0 + 7 + 46 + 9 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235345743 + ... + 235347921.

It is an arithmetic number, because the mean of its divisors is an integer number (3616070640).

Almost surely, 2^512820746928 is an apocalyptic number.

512820746928 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512820746928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867856953600).

512820746928 is an abundant number, since it is smaller than the sum of its proper divisors (1222893160272).

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

512820746928 is a wasteful number, since it uses less digits than its factorization.

512820746928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 512820746928 in words is "five hundred twelve billion, eight hundred twenty million, seven hundred forty-six thousand, nine hundred twenty-eight".