10414288 has 20 divisors (see below), whose sum is σ = 20560068. Its totient is φ = 5108480.

The previous prime is 10414247. The next prime is 10414289. The reversal of 10414288 is 88241401.

10414288 is nontrivially palindromic in base 15.

10414288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8363664 + 2050624 = 2892^2 + 1432^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414289) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5293 + ... + 6988.

Almost surely, 2^10414288 is an apocalyptic number.

It is an amenable number.

10414288 is a deficient number, since it is larger than the sum of its proper divisors (10145780).

10414288 is a wasteful number, since it uses less digits than its factorization.

10414288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12342 (or 12336 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 10414288 is about 3227.1175993447. The cubic root of 10414288 is about 218.3784912647.

Adding to 10414288 its reverse (88241401), we get a palindrome (98655689).

It can be divided in two parts, 1041 and 4288, that added together give a square (5329 = 73²).

The spelling of 10414288 in words is "ten million, four hundred fourteen thousand, two hundred eighty-eight".