512763328 has 112 divisors (see below), whose sum is σ = 1288353024. Its totient is φ = 196669440.

The previous prime is 512763319. The next prime is 512763331. The reversal of 512763328 is 823367215.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329400 + ... + 330952.

It is an arithmetic number, because the mean of its divisors is an integer number (11503152).

Almost surely, 2^512763328 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 512763328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644176512).

512763328 is an abundant number, since it is smaller than the sum of its proper divisors (775589696).

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

512763328 is a wasteful number, since it uses less digits than its factorization.

512763328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1640 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 512763328 is about 22644.2780410416. The cubic root of 512763328 is about 800.3973692561.

The spelling of 512763328 in words is "five hundred twelve million, seven hundred sixty-three thousand, three hundred twenty-eight".