32428806400 has 81 divisors (see below), whose sum is σ = 80302036773. Its totient is φ = 12965760000.

The previous prime is 32428806349. The next prime is 32428806401. The reversal of 32428806400 is 460882423.

The square root of 32428806400 is 180080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11674370304 + 20754436096 = 108048^2 + 144064^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32428806400.

It is not an unprimeable number, because it can be changed into a prime (32428806401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14405275 + ... + 14407525.

Almost surely, 2^32428806400 is an apocalyptic number.

32428806400 is the 180080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32428806400

32428806400 is an abundant number, since it is smaller than the sum of its proper divisors (47873230373).

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

32428806400 is an frugal number, since it uses more digits than its factorization.

32428806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 32428806400 in words is "thirty-two billion, four hundred twenty-eight million, eight hundred six thousand, four hundred".