1057712128 has 96 divisors (see below), whose sum is σ = 2388204000. Its totient is φ = 463912960.

The previous prime is 1057712101. The next prime is 1057712141. The reversal of 1057712128 is 8212177501.

It is a super-2 number, since 2×1057712128² = 2237509891436576768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1057712093 and 1057712102.

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, 652503 + ... + 654121.

It is an arithmetic number, because the mean of its divisors is an integer number (24877125).

Almost surely, 2^1057712128 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 1057712128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194102000).

1057712128 is an abundant number, since it is smaller than the sum of its proper divisors (1330491872).

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

1057712128 is a wasteful number, since it uses less digits than its factorization.

1057712128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 34.

The square root of 1057712128 is about 32522.4864978064. The cubic root of 1057712128 is about 1018.8787268403.

Adding to 1057712128 its reverse (8212177501), we get a palindrome (9269889629).

The spelling of 1057712128 in words is "one billion, fifty-seven million, seven hundred twelve thousand, one hundred twenty-eight".