10628982 has 120 divisors (see below), whose sum is σ = 30126096. Its totient is φ = 2776032.

The previous prime is 10628971. The next prime is 10628983. The reversal of 10628982 is 28982601.

It is a super-2 number, since 2×10628982² = 225950516712648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10628983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 103143 + ... + 103245.

Almost surely, 2^10628982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10628982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15063048).

10628982 is an abundant number, since it is smaller than the sum of its proper divisors (19497114).

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

10628982 is a wasteful number, since it uses less digits than its factorization.

10628982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 10628982 is about 3260.2119562998. The cubic root of 10628982 is about 219.8689439828.

The spelling of 10628982 in words is "ten million, six hundred twenty-eight thousand, nine hundred eighty-two".