512788032 has 84 divisors (see below), whose sum is σ = 1509601756. Its totient is φ = 166302720.

The previous prime is 512787971. The next prime is 512788033. The reversal of 512788032 is 230887215.

It can be written as a sum of positive squares in 2 ways, for example, as 491774976 + 21013056 = 22176^2 + 4584^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (512788033) 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, 9282 + ... + 33342.

Almost surely, 2^512788032 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 512788032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754800878).

512788032 is an abundant number, since it is smaller than the sum of its proper divisors (996813724).

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

512788032 is a wasteful number, since it uses less digits than its factorization.

512788032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24116 (or 24103 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 512788032 is about 22644.8235144370. The cubic root of 512788032 is about 800.4102229438.

It can be divided in two parts, 512 and 788032, that added together give a square (788544 = 888²).

The spelling of 512788032 in words is "five hundred twelve million, seven hundred eighty-eight thousand, thirty-two".