2162528928 has 672 divisors, whose sum is σ = 8329184640. Its totient is φ = 537477120.

The previous prime is 2162528861. The next prime is 2162528941. The reversal of 2162528928 is 8298252612.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 52744588 + ... + 52744628.

It is an arithmetic number, because the mean of its divisors is an integer number (12394620).

Almost surely, 2^2162528928 is an apocalyptic number.

2162528928 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 2162528928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164592320).

2162528928 is an abundant number, since it is smaller than the sum of its proper divisors (6166655712).

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

2162528928 is a wasteful number, since it uses less digits than its factorization.

2162528928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 2162528928 is about 46502.9991290884. Note that the first 3 decimals coincide. The cubic root of 2162528928 is about 1293.1650996914.

The spelling of 2162528928 in words is "two billion, one hundred sixty-two million, five hundred twenty-eight thousand, nine hundred twenty-eight".