10082628 has 72 divisors (see below), whose sum is σ = 26732160. Its totient is φ = 3201600.

The previous prime is 10082627. The next prime is 10082663. The reversal of 10082628 is 82628001.

It is not an unprimeable number, because it can be changed into a prime (10082621) 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 23 ways as a sum of consecutive naturals, for example, 99778 + ... + 99878.

It is an arithmetic number, because the mean of its divisors is an integer number (371280).

Almost surely, 2^10082628 is an apocalyptic number.

10082628 is a gapful number since it is divisible by the number (18) 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 10082628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13366080).

10082628 is an abundant number, since it is smaller than the sum of its proper divisors (16649532).

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

10082628 is a wasteful number, since it uses less digits than its factorization.

10082628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10082628 is about 3175.3154174034. The cubic root of 10082628 is about 216.0352308788.

It can be divided in two parts, 100 and 82628, that added together give a palindrome (82728).

The spelling of 10082628 in words is "ten million, eighty-two thousand, six hundred twenty-eight".