2128134528 has 288 divisors, whose sum is σ = 7032228840. Its totient is φ = 615333888.

The previous prime is 2128134499. The next prime is 2128134551. The reversal of 2128134528 is 8254318212.

It is a happy number.

2128134528 is a `hidden beast` number, since 2 + 128 + 1 + 3 + 4 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 2128134492 and 2128134501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3309375 + ... + 3310017.

Almost surely, 2^2128134528 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 2128134528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516114420).

2128134528 is an abundant number, since it is smaller than the sum of its proper divisors (4904094312).

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

2128134528 is a wasteful number, since it uses less digits than its factorization.

2128134528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 678 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 2128134528 is about 46131.7084877636. The cubic root of 2128134528 is about 1286.2726223472.

The spelling of 2128134528 in words is "two billion, one hundred twenty-eight million, one hundred thirty-four thousand, five hundred twenty-eight".