1057128 has 32 divisors (see below), whose sum is σ = 2799360. Its totient is φ = 331520.

The previous prime is 1057117. The next prime is 1057129. The reversal of 1057128 is 8217501.

1057128 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×1057128² = 2235039216768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 1057098 and 1057107.

It is not an unprimeable number, because it can be changed into a prime (1057129) 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, 888 + ... + 1703.

It is an arithmetic number, because the mean of its divisors is an integer number (87480).

2^1057128 is an apocalyptic number.

It is an amenable number.

1057128 is an abundant number, since it is smaller than the sum of its proper divisors (1742232).

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

1057128 is a wasteful number, since it uses less digits than its factorization.

1057128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617 (or 2613 counting only the distinct ones).

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

The square root of 1057128 is about 1028.1673015614. The cubic root of 1057128 is about 101.8691131630.

The spelling of 1057128 in words is "one million, fifty-seven thousand, one hundred twenty-eight".