28934236800 has 960 divisors, whose sum is σ = 125615888640. Its totient is φ = 6419865600.

The previous prime is 28934236789. The next prime is 28934236817. The reversal of 28934236800 is 863243982.

28934236800 is a `hidden beast` number, since 289 + 3 + 4 + 2 + 368 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 67132585 + ... + 67133015.

It is an arithmetic number, because the mean of its divisors is an integer number (130849884).

Almost surely, 2^28934236800 is an apocalyptic number.

28934236800 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 28934236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62807944320).

28934236800 is an abundant number, since it is smaller than the sum of its proper divisors (96681651840).

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

28934236800 is a wasteful number, since it uses less digits than its factorization.

28934236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 28934236800 in words is "twenty-eight billion, nine hundred thirty-four million, two hundred thirty-six thousand, eight hundred".