10000128 has 72 divisors (see below), whose sum is σ = 27594000. Its totient is φ = 3211264.

The previous prime is 10000121. The next prime is 10000139. The reversal of 10000128 is 82100001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000121) 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, 22048 + ... + 22496.

It is an arithmetic number, because the mean of its divisors is an integer number (383250).

Almost surely, 2^10000128 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 10000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13797000).

10000128 is an abundant number, since it is smaller than the sum of its proper divisors (17593872).

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

10000128 is an equidigital number, since it uses as much as digits as its factorization.

10000128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 10000128 is about 3162.2978986806. The cubic root of 10000128 is about 215.4443882247. Note that the first 3 decimals are identical.

Adding to 10000128 its reverse (82100001), we get a palindrome (92100129).

The spelling of 10000128 in words is "ten million, one hundred twenty-eight", and thus it is an aban number.