28944432000 has 512 divisors, whose sum is σ = 116323084800. Its totient is φ = 7015680000.

The previous prime is 28944431939. The next prime is 28944432019. The reversal of 28944432000 is 23444982.

28944432000 is a `hidden beast` number, since 2 + 8 + 9 + 4 + 443 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4748955 + ... + 4755045.

It is an arithmetic number, because the mean of its divisors is an integer number (227193525).

Almost surely, 2^28944432000 is an apocalyptic number.

28944432000 is a gapful number since it is divisible by the number (20) 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 28944432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58161542400).

28944432000 is an abundant number, since it is smaller than the sum of its proper divisors (87378652800).

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

28944432000 is a wasteful number, since it uses less digits than its factorization.

28944432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6140 (or 6112 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 28944432000 its reverse (23444982), we get a palindrome (28967876982).

The spelling of 28944432000 in words is "twenty-eight billion, nine hundred forty-four million, four hundred thirty-two thousand".