10628567 has 8 divisors (see below), whose sum is σ = 11180160. Its totient is φ = 10090080.

The previous prime is 10628557. The next prime is 10628573. The reversal of 10628567 is 76582601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10628567 - 2¹⁴ = 10612183 is a prime.

It is a super-2 number, since 2×10628567² = 225932872946978, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10628557) 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 7 ways as a sum of consecutive naturals, for example, 1592 + ... + 4877.

It is an arithmetic number, because the mean of its divisors is an integer number (1397520).

Almost surely, 2^10628567 is an apocalyptic number.

10628567 is a deficient number, since it is larger than the sum of its proper divisors (551593).

10628567 is an equidigital number, since it uses as much as digits as its factorization.

10628567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6553.

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 10628567 is about 3260.1483095099. The cubic root of 10628567 is about 219.8660824106.

The spelling of 10628567 in words is "ten million, six hundred twenty-eight thousand, five hundred sixty-seven".