28008624 has 80 divisors (see below), whose sum is σ = 85391360. Its totient is φ = 7741440.

The previous prime is 28008601. The next prime is 28008637. The reversal of 28008624 is 42680082.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 28008591 and 28008600.

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 15 ways as a sum of consecutive naturals, for example, 9072 + ... + 11760.

It is an arithmetic number, because the mean of its divisors is an integer number (1067392).

Almost surely, 2^28008624 is an apocalyptic number.

28008624 is a gapful number since it is divisible by the number (24) 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 28008624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42695680).

28008624 is an abundant number, since it is smaller than the sum of its proper divisors (57382736).

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

28008624 is a wasteful number, since it uses less digits than its factorization.

28008624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 28008624 is about 5292.3174507960. The cubic root of 28008624 is about 303.6900696342.

The spelling of 28008624 in words is "twenty-eight million, eight thousand, six hundred twenty-four".