28234800 has 360 divisors, whose sum is σ = 115135488. Its totient is φ = 6336000.

The previous prime is 28234793. The next prime is 28234819. The reversal of 28234800 is 843282.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 910785 + ... + 910815.

Almost surely, 2^28234800 is an apocalyptic number.

28234800 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 28234800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57567744).

28234800 is an abundant number, since it is smaller than the sum of its proper divisors (86900688).

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

28234800 is a wasteful number, since it uses less digits than its factorization.

28234800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 28234800 is about 5313.6428182557. The cubic root of 28234800 is about 304.5053345017.

The spelling of 28234800 in words is "twenty-eight million, two hundred thirty-four thousand, eight hundred".