2093128128 has 784 divisors, whose sum is σ = 8395289280. Its totient is φ = 501645312.

The previous prime is 2093128117. The next prime is 2093128189. The reversal of 2093128128 is 8218213902.

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 = 2093128092 and 2093128101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 72176818 + ... + 72176846.

Almost surely, 2^2093128128 is an apocalyptic number.

2093128128 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 2093128128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4197644640).

2093128128 is an abundant number, since it is smaller than the sum of its proper divisors (6302161152).

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

2093128128 is a wasteful number, since it uses less digits than its factorization.

2093128128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 71 counting only the distinct ones).

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

The square root of 2093128128 is about 45750.7172402794. The cubic root of 2093128128 is about 1279.1808169914.

The spelling of 2093128128 in words is "two billion, ninety-three million, one hundred twenty-eight thousand, one hundred twenty-eight".