501227728 has 60 divisors (see below), whose sum is σ = 1049116012. Its totient is φ = 231874560.

The previous prime is 501227689. The next prime is 501227729. The reversal of 501227728 is 827722105.

It can be written as a sum of positive squares in 6 ways, for example, as 5184 + 501222544 = 72^2 + 22388^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 501227693 and 501227702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501227729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281176 + ... + 282952.

Almost surely, 2^501227728 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 501227728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524558006).

501227728 is an abundant number, since it is smaller than the sum of its proper divisors (547888284).

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

501227728 is a wasteful number, since it uses less digits than its factorization.

501227728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 501227728 is about 22388.1157760094. The cubic root of 501227728 is about 794.3496272334.

The spelling of 501227728 in words is "five hundred one million, two hundred twenty-seven thousand, seven hundred twenty-eight".