10628814 has 32 divisors (see below), whose sum is σ = 24595200. Its totient is φ = 2999232.

The previous prime is 10628801. The next prime is 10628837. The reversal of 10628814 is 41882601.

10628814 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10628814² = 225943374093192, which contains 22 as substring.

10628814 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1962 + ... + 5010.

It is an arithmetic number, because the mean of its divisors is an integer number (768600).

Almost surely, 2^10628814 is an apocalyptic number.

10628814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10628814 is the 1743-rd nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10628814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12297600).

10628814 is an abundant number, since it is smaller than the sum of its proper divisors (13966386).

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

10628814 is a wasteful number, since it uses less digits than its factorization.

10628814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144.

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 10628814 is about 3260.1861910020. The cubic root of 10628814 is about 219.8677855722.

It can be divided in two parts, 1062881 and 4, that multiplied together give a palindrome (4251524).

The spelling of 10628814 in words is "ten million, six hundred twenty-eight thousand, eight hundred fourteen".