10416128 has 26 divisors (see below), whose sum is σ = 20837904. Its totient is φ = 5206016.

The previous prime is 10416127. The next prime is 10416137. The reversal of 10416128 is 82161401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10416127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2825 + ... + 5367.

Almost surely, 2^10416128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10416128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10418952).

10416128 is an abundant number, since it is smaller than the sum of its proper divisors (10421776).

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

10416128 is an frugal number, since it uses more digits than its factorization.

10416128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 10416128 is about 3227.4026708795. The cubic root of 10416128 is about 218.3913515698.

Adding to 10416128 its reverse (82161401), we get a palindrome (92577529).

The spelling of 10416128 in words is "ten million, four hundred sixteen thousand, one hundred twenty-eight".