2077728128 has 192 divisors, whose sum is σ = 5185843200. Its totient is φ = 809948160.

The previous prime is 2077728091. The next prime is 2077728131. The reversal of 2077728128 is 8218277702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16360001 + ... + 16360127.

It is an arithmetic number, because the mean of its divisors is an integer number (27009600).

Almost surely, 2^2077728128 is an apocalyptic number.

2077728128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2077728128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592921600).

2077728128 is an abundant number, since it is smaller than the sum of its proper divisors (3108115072).

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

2077728128 is a wasteful number, since it uses less digits than its factorization.

2077728128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 44.

The square root of 2077728128 is about 45582.1031546373. The cubic root of 2077728128 is about 1276.0359394102.

The spelling of 2077728128 in words is "two billion, seventy-seven million, seven hundred twenty-eight thousand, one hundred twenty-eight".