2111833728 has 128 divisors (see below), whose sum is σ = 6339096000. Its totient is φ = 691946496.

The previous prime is 2111833723. The next prime is 2111833733. The reversal of 2111833728 is 8273381112.

It is an interprime number because it is at equal distance from previous prime (2111833723) and next prime (2111833733).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2111833692 and 2111833701.

It is not an unprimeable number, because it can be changed into a prime (2111833723) 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, 198726 + ... + 209082.

Almost surely, 2^2111833728 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 2111833728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169548000).

2111833728 is an abundant number, since it is smaller than the sum of its proper divisors (4227262272).

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

2111833728 is a wasteful number, since it uses less digits than its factorization.

2111833728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10439 (or 10421 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 2111833728 is about 45954.6921216974. The cubic root of 2111833728 is about 1282.9800617241.

The spelling of 2111833728 in words is "two billion, one hundred eleven million, eight hundred thirty-three thousand, seven hundred twenty-eight".