10168128 has 84 divisors (see below), whose sum is σ = 29585920. Its totient is φ = 3338496.

The previous prime is 10168127. The next prime is 10168153. The reversal of 10168128 is 82186101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10168127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73083 + ... + 73221.

Almost surely, 2^10168128 is an apocalyptic number.

10168128 is a gapful number since it is divisible by the number (18) 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 10168128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14792960).

10168128 is an abundant number, since it is smaller than the sum of its proper divisors (19417792).

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

10168128 is a wasteful number, since it uses less digits than its factorization.

10168128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 10168128 is about 3188.7502254018. The cubic root of 10168128 is about 216.6441675520.

It can be divided in two parts, 10168 and 128, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 10168128 in words is "ten million, one hundred sixty-eight thousand, one hundred twenty-eight".