10005828 has 48 divisors (see below), whose sum is σ = 27847680. Its totient is φ = 2733984.

The previous prime is 10005823. The next prime is 10005829. The reversal of 10005828 is 82850001.

It is a junction number, because it is equal to n+sod(n) for n = 10005798 and 10005807.

It is not an unprimeable number, because it can be changed into a prime (10005823) 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, 658 + ... + 4521.

It is an arithmetic number, because the mean of its divisors is an integer number (580160).

Almost surely, 2^10005828 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 10005828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13923840).

10005828 is an abundant number, since it is smaller than the sum of its proper divisors (17841852).

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

10005828 is a wasteful number, since it uses less digits than its factorization.

10005828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5216 (or 5214 counting only the distinct ones).

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

The square root of 10005828 is about 3163.1990136569. The cubic root of 10005828 is about 215.4853143597.

Adding to 10005828 its reverse (82850001), we get a palindrome (92855829).

The spelling of 10005828 in words is "ten million, five thousand, eight hundred twenty-eight".