28072800 has 216 divisors, whose sum is σ = 113336496. Its totient is φ = 6405120.

The previous prime is 28072789. The next prime is 28072813. The reversal of 28072800 is 827082.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50122 + ... + 50678.

It is an arithmetic number, because the mean of its divisors is an integer number (524706).

Almost surely, 2^28072800 is an apocalyptic number.

28072800 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 28072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56668248).

28072800 is an abundant number, since it is smaller than the sum of its proper divisors (85263696).

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

28072800 is a wasteful number, since it uses less digits than its factorization.

28072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 28072800 is about 5298.3771100215. The cubic root of 28072800 is about 303.9218404791.

Adding to 28072800 its reverse (827082), we get a palindrome (28899882).

The spelling of 28072800 in words is "twenty-eight million, seventy-two thousand, eight hundred".