28030732800 has 240 divisors, whose sum is σ = 105827042112. Its totient is φ = 6406963200.

The previous prime is 28030732789. The next prime is 28030732843. The reversal of 28030732800 is 823703082.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 216660 + ... + 320940.

Almost surely, 2^28030732800 is an apocalyptic number.

28030732800 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 28030732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52913521056).

28030732800 is an abundant number, since it is smaller than the sum of its proper divisors (77796309312).

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

28030732800 is a wasteful number, since it uses less digits than its factorization.

28030732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104319 (or 104298 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 28030732800 in words is "twenty-eight billion, thirty million, seven hundred thirty-two thousand, eight hundred".