512928 has 72 divisors (see below), whose sum is σ = 1582308. Its totient is φ = 156672.

The previous prime is 512927. The next prime is 512929. The reversal of 512928 is 829215.

512928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (512927) and next prime (512929).

It can be written as a sum of positive squares in 2 ways, for example, as 501264 + 11664 = 708^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (512921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3676 + ... + 3812.

2⁵¹²⁹²⁸ 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 512928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791154).

512928 is an abundant number, since it is smaller than the sum of its proper divisors (1069380).

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

512928 is a wasteful number, since it uses less digits than its factorization.

512928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 512928 is about 716.1899189461. The cubic root of 512928 is about 80.0483041613.

The spelling of 512928 in words is "five hundred twelve thousand, nine hundred twenty-eight".