28978800 has 240 divisors, whose sum is σ = 103326720. Its totient is φ = 6912000.

The previous prime is 28978799. The next prime is 28978813. The reversal of 28978800 is 887982.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 706780 + ... + 706820.

It is an arithmetic number, because the mean of its divisors is an integer number (430528).

Almost surely, 2^28978800 is an apocalyptic number.

28978800 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 28978800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51663360).

28978800 is an abundant number, since it is smaller than the sum of its proper divisors (74347920).

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

28978800 is a wasteful number, since it uses less digits than its factorization.

28978800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 28978800 is about 5383.1960766816. The cubic root of 28978800 is about 307.1567986667.

The spelling of 28978800 in words is "twenty-eight million, nine hundred seventy-eight thousand, eight hundred".