512029728 has 192 divisors, whose sum is σ = 1762467840. Its totient is φ = 141523200.

The previous prime is 512029723. The next prime is 512029733. The reversal of 512029728 is 827920215.

It is an interprime number because it is at equal distance from previous prime (512029723) and next prime (512029733).

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 = 512029692 and 512029701.

It is not an unprimeable number, because it can be changed into a prime (512029723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186123 + ... + 188853.

It is an arithmetic number, because the mean of its divisors is an integer number (9179520).

Almost surely, 2^512029728 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 512029728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881233920).

512029728 is an abundant number, since it is smaller than the sum of its proper divisors (1250438112).

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

512029728 is a wasteful number, since it uses less digits than its factorization.

512029728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 512029728 is about 22628.0738906342. The cubic root of 512029728 is about 800.0154830337.

The spelling of 512029728 in words is "five hundred twelve million, twenty-nine thousand, seven hundred twenty-eight".