502693128 has 384 divisors, whose sum is σ = 1783192320. Its totient is φ = 129392640.

The previous prime is 502693049. The next prime is 502693201. The reversal of 502693128 is 821396205.

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 = 502693092 and 502693101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9484750 + ... + 9484802.

It is an arithmetic number, because the mean of its divisors is an integer number (4643730).

Almost surely, 2^502693128 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 502693128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891596160).

502693128 is an abundant number, since it is smaller than the sum of its proper divisors (1280499192).

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

502693128 is a wasteful number, since it uses less digits than its factorization.

502693128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 502693128 is about 22420.8190751364. The cubic root of 502693128 is about 795.1229998368.

The spelling of 502693128 in words is "five hundred two million, six hundred ninety-three thousand, one hundred twenty-eight".