1027680128 has 32 divisors (see below), whose sum is σ = 2076185520. Its totient is φ = 506598400.

The previous prime is 1027680119. The next prime is 1027680133. The reversal of 1027680128 is 8210867201.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1027680128² = 2112252890972192768, 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 3 ways as a sum of consecutive naturals, for example, 47453 + ... + 65628.

Almost surely, 2^1027680128 is an apocalyptic number.

It is an amenable number.

1027680128 is an abundant number, since it is smaller than the sum of its proper divisors (1048505392).

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

1027680128 is an equidigital number, since it uses as much as digits as its factorization.

1027680128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113166 (or 113154 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 1027680128 is about 32057.4504288785. The cubic root of 1027680128 is about 1009.1428626396.

The spelling of 1027680128 in words is "one billion, twenty-seven million, six hundred eighty thousand, one hundred twenty-eight".