1027075128 has 64 divisors (see below), whose sum is σ = 2770083360. Its totient is φ = 316133376.

The previous prime is 1027075123. The next prime is 1027075139. The reversal of 1027075128 is 8215707201.

It is a super-3 number, since 3×1027075128³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027075123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2125 + ... + 45372.

Almost surely, 2^1027075128 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 1027075128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385041680).

1027075128 is an abundant number, since it is smaller than the sum of its proper divisors (1743008232).

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

1027075128 is a wasteful number, since it uses less digits than its factorization.

1027075128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47576 (or 47572 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 1027075128 is about 32048.0128557138. The cubic root of 1027075128 is about 1008.9447947577.

The spelling of 1027075128 in words is "one billion, twenty-seven million, seventy-five thousand, one hundred twenty-eight".