28896000 has 288 divisors, whose sum is σ = 112240128. Its totient is φ = 6451200.

The previous prime is 28895963. The next prime is 28896011. The reversal of 28896000 is 69882.

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 31 ways as a sum of consecutive naturals, for example, 671979 + ... + 672021.

Almost surely, 2^28896000 is an apocalyptic number.

28896000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 5375×5376.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56120064).

28896000 is an abundant number, since it is smaller than the sum of its proper divisors (83344128).

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

28896000 is an equidigital number, since it uses as much as digits as its factorization.

28896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 28896000 is about 5375.4999767463. The cubic root of 28896000 is about 306.8639772022.

The spelling of 28896000 in words is "twenty-eight million, eight hundred ninety-six thousand".