2128896000 has 896 divisors, whose sum is σ = 9814072320. Its totient is φ = 442368000.

The previous prime is 2128895971. The next prime is 2128896001. The reversal of 2128896000 is 6988212.

2128896000 is a `hidden beast` number, since 21 + 28 + 8 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128896001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193535995 + ... + 193536005.

Almost surely, 2^2128896000 is an apocalyptic number.

2128896000 is a gapful number since it is divisible by the number (20) 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 2128896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907036160).

2128896000 is an abundant number, since it is smaller than the sum of its proper divisors (7685176320).

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

2128896000 is an equidigital number, since it uses as much as digits as its factorization.

2128896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2128896000 is about 46139.9609882800. The cubic root of 2128896000 is about 1286.4260186317.

The spelling of 2128896000 in words is "two billion, one hundred twenty-eight million, eight hundred ninety-six thousand".