28279680 has 256 divisors, whose sum is σ = 106928640. Its totient is φ = 6266880.

The previous prime is 28279679. The next prime is 28279717. The reversal of 28279680 is 8697282.

It is a happy number.

It is a congruent number.

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, 274509 + ... + 274611.

It is an arithmetic number, because the mean of its divisors is an integer number (417690).

Almost surely, 2^28279680 is an apocalyptic number.

28279680 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 28279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53464320).

28279680 is an abundant number, since it is smaller than the sum of its proper divisors (78648960).

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

28279680 is a wasteful number, since it uses less digits than its factorization.

28279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 28279680 is about 5317.8642329416. The cubic root of 28279680 is about 304.6665889922. Note that the first 3 decimals are identical.

The spelling of 28279680 in words is "twenty-eight million, two hundred seventy-nine thousand, six hundred eighty".