10628471 has 16 divisors (see below), whose sum is σ = 12882240. Its totient is φ = 8574720.

The previous prime is 10628447. The next prime is 10628473. The reversal of 10628471 is 17482601.

It is not a de Polignac number, because 10628471 - 2¹⁰ = 10627447 is a prime.

It is a super-3 number, since 3×10628471³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10628473) 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 15 ways as a sum of consecutive naturals, for example, 7685 + ... + 8961.

It is an arithmetic number, because the mean of its divisors is an integer number (805140).

Almost surely, 2^10628471 is an apocalyptic number.

10628471 is a deficient number, since it is larger than the sum of its proper divisors (2253769).

10628471 is a wasteful number, since it uses less digits than its factorization.

10628471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354.

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 10628471 is about 3260.1335862200. The cubic root of 10628471 is about 219.8654204459.

The spelling of 10628471 in words is "ten million, six hundred twenty-eight thousand, four hundred seventy-one".