28636800 has 192 divisors, whose sum is σ = 99919200. Its totient is φ = 7188480.

The previous prime is 28636793. The next prime is 28636813. The reversal of 28636800 is 863682.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182322 + ... + 182478.

Almost surely, 2^28636800 is an apocalyptic number.

28636800 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 28636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49959600).

28636800 is an abundant number, since it is smaller than the sum of its proper divisors (71282400).

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

28636800 is a wasteful number, since it uses less digits than its factorization.

28636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 28636800 is about 5351.3362817151. The cubic root of 28636800 is about 305.9436865059.

The spelling of 28636800 in words is "twenty-eight million, six hundred thirty-six thousand, eight hundred".