512437828 has 48 divisors (see below), whose sum is σ = 1086131200. Its totient is φ = 206647200.

The previous prime is 512437813. The next prime is 512437829. The reversal of 512437828 is 828734215.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (512437829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77143 + ... + 83521.

Almost surely, 2^512437828 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 512437828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543065600).

512437828 is an abundant number, since it is smaller than the sum of its proper divisors (573693372).

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

512437828 is a wasteful number, since it uses less digits than its factorization.

512437828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6560 (or 6558 counting only the distinct ones).

The product of its digits is 107520, while the sum is 40.

The square root of 512437828 is about 22637.0896539286. The cubic root of 512437828 is about 800.2279704473.

The spelling of 512437828 in words is "five hundred twelve million, four hundred thirty-seven thousand, eight hundred twenty-eight".