1057135728 has 40 divisors (see below), whose sum is σ = 2979202176. Its totient is φ = 320344000.

The previous prime is 1057135697. The next prime is 1057135733. The reversal of 1057135728 is 8275317501.

It is a super-2 number, since 2×1057135728² = 2235071894828179968, which contains 22 as substring.

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, 1000548 + ... + 1001603.

Almost surely, 2^1057135728 is an apocalyptic number.

It is an amenable number.

1057135728 is an abundant number, since it is smaller than the sum of its proper divisors (1922066448).

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

1057135728 is a wasteful number, since it uses less digits than its factorization.

1057135728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002173 (or 2002167 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 39.

The square root of 1057135728 is about 32513.6237291385. The cubic root of 1057135728 is about 1018.6936139618.

The spelling of 1057135728 in words is "one billion, fifty-seven million, one hundred thirty-five thousand, seven hundred twenty-eight".