2328528547600 has 60 divisors (see below), whose sum is σ = 5606749710900. Its totient is φ = 929336934400.

The previous prime is 2328528547567. The next prime is 2328528547607. The reversal of 2328528547600 is 67458258232.

2328528547600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 453688462096 + 1874840085504 = 673564^2 + 1369248^2 .

It is not an unprimeable number, because it can be changed into a prime (2328528547607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6302941 + ... + 6662140.

It is an arithmetic number, because the mean of its divisors is an integer number (93445828515).

Almost surely, 2^{2328528547600} is an apocalyptic number.

2328528547600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2328528547600 is an abundant number, since it is smaller than the sum of its proper divisors (3278221163300).

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

2328528547600 is a wasteful number, since it uses less digits than its factorization.

2328528547600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12965548 (or 12965537 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 52.

The spelling of 2328528547600 in words is "two trillion, three hundred twenty-eight billion, five hundred twenty-eight million, five hundred forty-seven thousand, six hundred".