501828 has 48 divisors (see below), whose sum is σ = 1290240. Its totient is φ = 151200.

The previous prime is 501827. The next prime is 501829. The reversal of 501828 is 828105.

It is an interprime number because it is at equal distance from previous prime (501827) and next prime (501829).

It is a junction number, because it is equal to n+sod(n) for n = 501798 and 501807.

It is not an unprimeable number, because it can be changed into a prime (501821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7033 + ... + 7103.

It is an arithmetic number, because the mean of its divisors is an integer number (26880).

2⁵⁰¹⁸²⁸ 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 501828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645120).

501828 is an abundant number, since it is smaller than the sum of its proper divisors (788412).

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

501828 is a wasteful number, since it uses less digits than its factorization.

501828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 501828 is about 708.3981931089. The cubic root of 501828 is about 79.4666605984.

The spelling of 501828 in words is "five hundred one thousand, eight hundred twenty-eight".