501200128 has 72 divisors (see below), whose sum is σ = 1175430816. Its totient is φ = 210278400.

The previous prime is 501200123. The next prime is 501200143. The reversal of 501200128 is 821002105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501200123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29763 + ... + 43453.

It is an arithmetic number, because the mean of its divisors is an integer number (16325428).

Almost surely, 2^501200128 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 501200128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587715408).

501200128 is an abundant number, since it is smaller than the sum of its proper divisors (674230688).

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

501200128 is a wasteful number, since it uses less digits than its factorization.

501200128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13731 (or 13717 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 501200128 is about 22387.4993690676. The cubic root of 501200128 is about 794.3350467337.

The spelling of 501200128 in words is "five hundred one million, two hundred thousand, one hundred twenty-eight".