28887600 has 240 divisors, whose sum is σ = 111937280. Its totient is φ = 6220800.

The previous prime is 28887583. The next prime is 28887601. The reversal of 28887600 is 678882.

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

It is not an unprimeable number, because it can be changed into a prime (28887601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 159510 + ... + 159690.

Almost surely, 2^28887600 is an apocalyptic number.

28887600 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 28887600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55968640).

28887600 is an abundant number, since it is smaller than the sum of its proper divisors (83049680).

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

28887600 is a wasteful number, since it uses less digits than its factorization.

28887600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 28887600 is about 5374.7185972849. The cubic root of 28887600 is about 306.8342394389.

The spelling of 28887600 in words is "twenty-eight million, eight hundred eighty-seven thousand, six hundred".