2831648128 has 192 divisors, whose sum is σ = 6497971200. Its totient is φ = 1224115200.

The previous prime is 2831648123. The next prime is 2831648143. The reversal of 2831648128 is 8218461382.

It is a happy number.

It is a super-2 number, since 2×2831648128² = 16036462241611808768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2831648123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39882333 + ... + 39882403.

It is an arithmetic number, because the mean of its divisors is an integer number (33843600).

Almost surely, 2^2831648128 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 2831648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248985600).

2831648128 is an abundant number, since it is smaller than the sum of its proper divisors (3666323072).

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

2831648128 is a wasteful number, since it uses less digits than its factorization.

2831648128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 146 counting only the distinct ones).

The product of its digits is 147456, while the sum is 43.

The square root of 2831648128 is about 53213.2326400116. The cubic root of 2831648128 is about 1414.7501925960.

The spelling of 2831648128 in words is "two billion, eight hundred thirty-one million, six hundred forty-eight thousand, one hundred twenty-eight".