10628576 has 48 divisors (see below), whose sum is σ = 24966144. Its totient is φ = 4354944.

The previous prime is 10628573. The next prime is 10628591. The reversal of 10628576 is 67582601.

It is a super-2 number, since 2×10628576² = 225933255575552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10628573) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4121 + ... + 6183.

It is an arithmetic number, because the mean of its divisors is an integer number (520128).

Almost surely, 2^10628576 is an apocalyptic number.

10628576 is a gapful number since it is divisible by the number (16) 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 10628576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12483072).

10628576 is an abundant number, since it is smaller than the sum of its proper divisors (14337568).

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

10628576 is a wasteful number, since it uses less digits than its factorization.

10628576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103 (or 2095 counting only the distinct ones).

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

The square root of 10628576 is about 3260.1496898149. The cubic root of 10628576 is about 219.8661444695.

It can be divided in two parts, 106 and 28576, that added together give a palindrome (28682).

The spelling of 10628576 in words is "ten million, six hundred twenty-eight thousand, five hundred seventy-six".