28074800 has 60 divisors (see below), whose sum is σ = 72651600. Its totient is φ = 10364160.

The previous prime is 28074797. The next prime is 28074811. The reversal of 28074800 is 847082.

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 11 ways as a sum of consecutive naturals, for example, 2501 + ... + 7899.

It is an arithmetic number, because the mean of its divisors is an integer number (1210860).

Almost surely, 2^28074800 is an apocalyptic number.

28074800 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 28074800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36325800).

28074800 is an abundant number, since it is smaller than the sum of its proper divisors (44576800).

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

28074800 is a wasteful number, since it uses less digits than its factorization.

28074800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5430 (or 5419 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 28074800 is about 5298.5658436977. The cubic root of 28074800 is about 303.9290577766.

The spelling of 28074800 in words is "twenty-eight million, seventy-four thousand, eight hundred".