10582628 has 18 divisors (see below), whose sum is σ = 21543606. Its totient is φ = 4535328.

The previous prime is 10582613. The next prime is 10582631. The reversal of 10582628 is 82628501.

It can be written as a sum of positive squares in only one way, i.e., 10549504 + 33124 = 3248^2 + 182^2 .

It is a super-2 number, since 2×10582628² = 223984030772768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10582594 and 10582603.

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 5 ways as a sum of consecutive naturals, for example, 26801 + ... + 27192.

It is an arithmetic number, because the mean of its divisors is an integer number (1196867).

Almost surely, 2^10582628 is an apocalyptic number.

It is an amenable number.

10582628 is an abundant number, since it is smaller than the sum of its proper divisors (10960978).

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

10582628 is a wasteful number, since it uses less digits than its factorization.

10582628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54011 (or 54002 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 10582628 is about 3253.0951415537. The cubic root of 10582628 is about 219.5488551025.

The spelling of 10582628 in words is "ten million, five hundred eighty-two thousand, six hundred twenty-eight".