10082828 has 24 divisors (see below), whose sum is σ = 20580000. Its totient is φ = 4320624.

The previous prime is 10082803. The next prime is 10082837. The reversal of 10082828 is 82828001.

10082828 is a modest number, since divided by 2828 gives 1008 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 10082828.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2303 + ... + 5046.

It is an arithmetic number, because the mean of its divisors is an integer number (857500).

Almost surely, 2^10082828 is an apocalyptic number.

It is an amenable number.

10082828 is an abundant number, since it is smaller than the sum of its proper divisors (10497172).

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

10082828 is an equidigital number, since it uses as much as digits as its factorization.

10082828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7374 (or 7358 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 10082828 is about 3175.3469101816. The cubic root of 10082828 is about 216.0366593014.

It can be divided in two parts, 100 and 82828, that added together give a palindrome (82928).

The spelling of 10082828 in words is "ten million, eighty-two thousand, eight hundred twenty-eight".