28668120 has 256 divisors, whose sum is σ = 104509440. Its totient is φ = 6217728.

The previous prime is 28668113. The next prime is 28668151. The reversal of 28668120 is 2186682.

It is a super-2 number, since 2×28668120² = 1643722208668800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 609937 + ... + 609983.

It is an arithmetic number, because the mean of its divisors is an integer number (408240).

Almost surely, 2^28668120 is an apocalyptic number.

28668120 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 28668120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52254720).

28668120 is an abundant number, since it is smaller than the sum of its proper divisors (75841320).

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

28668120 is a wasteful number, since it uses less digits than its factorization.

28668120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 28668120 is about 5354.2618538880. The cubic root of 28668120 is about 306.0551824954.

The spelling of 28668120 in words is "twenty-eight million, six hundred sixty-eight thousand, one hundred twenty".