1077936128 has 46 divisors (see below), whose sum is σ = 2164260606. Its totient is φ = 536870912.

The previous prime is 1077936121. The next prime is 1077936137. The reversal of 1077936128 is 8216397701.

It can be written as a sum of positive squares in only one way, i.e., 1073741824 + 4194304 = 32768^2 + 2048^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077936121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 1077936128 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4194176 + ... + 4194432.

Almost surely, 2^1077936128 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 1077936128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082130303).

1077936128 is an abundant number, since it is smaller than the sum of its proper divisors (1086324478).

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

1077936128 is an frugal number, since it uses more digits than its factorization.

1077936128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 44.

The square root of 1077936128 is about 32831.9376217731. The cubic root of 1077936128 is about 1025.3316009800.

The spelling of 1077936128 in words is "one billion, seventy-seven million, nine hundred thirty-six thousand, one hundred twenty-eight".