2831152128 has 264 divisors, whose sum is σ = 8976275136. Its totient is φ = 777093120.

The previous prime is 2831152123. The next prime is 2831152187. The reversal of 2831152128 is 8212511382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2831152123) 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, 20665276 + ... + 20665412.

Almost surely, 2^2831152128 is an apocalyptic number.

2831152128 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 2831152128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4488137568).

2831152128 is an abundant number, since it is smaller than the sum of its proper divisors (6145123008).

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

2831152128 is a wasteful number, since it uses less digits than its factorization.

2831152128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 180 counting only the distinct ones).

The product of its digits is 7680, while the sum is 33.

The square root of 2831152128 is about 53208.5719409946. The cubic root of 2831152128 is about 1414.6675838067.

The spelling of 2831152128 in words is "two billion, eight hundred thirty-one million, one hundred fifty-two thousand, one hundred twenty-eight".