513728424 has 192 divisors, whose sum is σ = 1596291840. Its totient is φ = 147847680.

The previous prime is 513728363. The next prime is 513728443. The reversal of 513728424 is 424827315.

It is a happy number.

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

Its product of digits (53760) is a multiple of the sum of its prime factors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1377102 + ... + 1377474.

It is an arithmetic number, because the mean of its divisors is an integer number (8314020).

Almost surely, 2^513728424 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 513728424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798145920).

513728424 is an abundant number, since it is smaller than the sum of its proper divisors (1082563416).

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

513728424 is a wasteful number, since it uses less digits than its factorization.

513728424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 473 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 513728424 is about 22665.5779542459. The cubic root of 513728424 is about 800.8992097320.

The spelling of 513728424 in words is "five hundred thirteen million, seven hundred twenty-eight thousand, four hundred twenty-four".