10024128 has 56 divisors (see below), whose sum is σ = 29474160. Its totient is φ = 3340800.

The previous prime is 10024127. The next prime is 10024163. The reversal of 10024128 is 82142001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10024128.

It is not an unprimeable number, because it can be changed into a prime (10024121) 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, 1173 + ... + 4628.

Almost surely, 2^10024128 is an apocalyptic number.

10024128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10024128 is an abundant number, since it is smaller than the sum of its proper divisors (19450032).

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

10024128 is an equidigital number, since it uses as much as digits as its factorization.

10024128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5822 (or 5806 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10024128 is about 3166.0903335186. The cubic root of 10024128 is about 215.6166038319.

Adding to 10024128 its reverse (82142001), we get a palindrome (92166129).

The spelling of 10024128 in words is "ten million, twenty-four thousand, one hundred twenty-eight".