2011828128 has 48 divisors (see below), whose sum is σ = 5293189440. Its totient is φ = 669067776.

The previous prime is 2011828123. The next prime is 2011828153. The reversal of 2011828128 is 8218281102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2011828128² = 8094904833223968768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2011828123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18276 + ... + 66012.

It is an arithmetic number, because the mean of its divisors is an integer number (110274780).

Almost surely, 2^2011828128 is an apocalyptic number.

It is an amenable number.

2011828128 is an abundant number, since it is smaller than the sum of its proper divisors (3281361312).

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

2011828128 is a wasteful number, since it uses less digits than its factorization.

2011828128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48189 (or 48181 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 33.

The square root of 2011828128 is about 44853.4070946678. The cubic root of 2011828128 is about 1262.3999208059.

The spelling of 2011828128 in words is "two billion, eleven million, eight hundred twenty-eight thousand, one hundred twenty-eight".