10057128 has 16 divisors (see below), whose sum is σ = 25142880. Its totient is φ = 3352368.

The previous prime is 10057127. The next prime is 10057129. The reversal of 10057128 is 82175001.

10057128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10057127) and next prime (10057129).

It is a super-2 number, since 2×10057128² = 202291647216768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 419047 = 10057128 / (1 + 0 + 0 + 5 + 7 + 1 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 10057098 and 10057107.

It is not an unprimeable number, because it can be changed into a prime (10057123) 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, 209500 + ... + 209547.

It is an arithmetic number, because the mean of its divisors is an integer number (1571430).

Almost surely, 2^10057128 is an apocalyptic number.

It is an amenable number.

10057128 is an abundant number, since it is smaller than the sum of its proper divisors (15085752).

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

10057128 is a wasteful number, since it uses less digits than its factorization.

10057128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419056 (or 419052 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 10057128 is about 3171.2975262501. The cubic root of 10057128 is about 215.8529520420.

The spelling of 10057128 in words is "ten million, fifty-seven thousand, one hundred twenty-eight".