501828000 has 384 divisors, whose sum is σ = 1811496960. Its totient is φ = 120960000.

The previous prime is 501827999. The next prime is 501828001. The reversal of 501828000 is 828105.

It is an interprime number because it is at equal distance from previous prime (501827999) and next prime (501828001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (501828001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7067965 + ... + 7068035.

It is an arithmetic number, because the mean of its divisors is an integer number (4717440).

Almost surely, 2^501828000 is an apocalyptic number.

501828000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905748480).

501828000 is an abundant number, since it is smaller than the sum of its proper divisors (1309668960).

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

501828000 is a wasteful number, since it uses less digits than its factorization.

501828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 131 counting only the distinct ones).

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

The square root of 501828000 is about 22401.5178057202. The cubic root of 501828000 is about 794.6666059837. Note that the first 4 decimals are identical.

The spelling of 501828000 in words is "five hundred one million, eight hundred twenty-eight thousand".