28806120 has 288 divisors, whose sum is σ = 115240320. Its totient is φ = 6209280.

The previous prime is 28806103. The next prime is 28806131. The reversal of 28806120 is 2160882.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 405685 + ... + 405755.

It is an arithmetic number, because the mean of its divisors is an integer number (400140).

Almost surely, 2^28806120 is an apocalyptic number.

28806120 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 28806120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57620160).

28806120 is an abundant number, since it is smaller than the sum of its proper divisors (86434200).

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

28806120 is a wasteful number, since it uses less digits than its factorization.

28806120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 28806120 is about 5367.1333130452. The cubic root of 28806120 is about 306.5454835202.

The spelling of 28806120 in words is "twenty-eight million, eight hundred six thousand, one hundred twenty".