509041728 has 168 divisors, whose sum is σ = 1584973208. Its totient is φ = 155271168.

The previous prime is 509041703. The next prime is 509041747. The reversal of 509041728 is 827140905.

It can be written as a sum of positive squares in 4 ways, for example, as 8714304 + 500327424 = 2952^2 + 22368^2 .

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 = 509041692 and 509041701.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1175400 + ... + 1175832.

Almost surely, 2^509041728 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 509041728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792486604).

509041728 is an abundant number, since it is smaller than the sum of its proper divisors (1075931480).

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

509041728 is a wasteful number, since it uses less digits than its factorization.

509041728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 608 counting only the distinct ones).

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

The square root of 509041728 is about 22561.9531069453. The cubic root of 509041728 is about 798.4562563188.

The spelling of 509041728 in words is "five hundred nine million, forty-one thousand, seven hundred twenty-eight".