28294800 has 240 divisors, whose sum is σ = 102404160. Its totient is φ = 6635520.

The previous prime is 28294787. The next prime is 28294811. The reversal of 28294800 is 849282.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 387564 + ... + 387636.

It is an arithmetic number, because the mean of its divisors is an integer number (426684).

Almost surely, 2^28294800 is an apocalyptic number.

28294800 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 28294800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51202080).

28294800 is an abundant number, since it is smaller than the sum of its proper divisors (74109360).

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

28294800 is a wasteful number, since it uses less digits than its factorization.

28294800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 28294800 is about 5319.2856663278. The cubic root of 28294800 is about 304.7208769485.

The spelling of 28294800 in words is "twenty-eight million, two hundred ninety-four thousand, eight hundred".