1057728 has 56 divisors (see below), whose sum is σ = 3202432. Its totient is φ = 301824.

The previous prime is 1057703. The next prime is 1057739. The reversal of 1057728 is 8277501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1057728² = 2237577043968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1057695 and 1057704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 951 + ... + 1737.

2^1057728 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 1057728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601216).

1057728 is an abundant number, since it is smaller than the sum of its proper divisors (2144704).

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

1057728 is an equidigital number, since it uses as much as digits as its factorization.

1057728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 1057728 is about 1028.4590414790. The cubic root of 1057728 is about 101.8883823237. Note that the first 3 decimals are identical.

The spelling of 1057728 in words is "one million, fifty-seven thousand, seven hundred twenty-eight".