28801008 has 100 divisors (see below), whose sum is σ = 84802608. Its totient is φ = 9434880.

The previous prime is 28801001. The next prime is 28801033. The reversal of 28801008 is 80010882.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28801001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 91860 + ... + 92172.

Almost surely, 2^28801008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28801008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42401304).

28801008 is an abundant number, since it is smaller than the sum of its proper divisors (56001600).

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

28801008 is a wasteful number, since it uses less digits than its factorization.

28801008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 28801008 is about 5366.6570600328. The cubic root of 28801008 is about 306.5273490264.

The spelling of 28801008 in words is "twenty-eight million, eight hundred one thousand, eight".