28277120 has 128 divisors (see below), whose sum is σ = 75349440. Its totient is φ = 10092544.

The previous prime is 28277089. The next prime is 28277141. The reversal of 28277120 is 2177282.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 250184 + ... + 250296.

Almost surely, 2^28277120 is an apocalyptic number.

28277120 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 28277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37674720).

28277120 is an abundant number, since it is smaller than the sum of its proper divisors (47072320).

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

28277120 is a wasteful number, since it uses less digits than its factorization.

28277120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 28277120 is about 5317.6235293597. The cubic root of 28277120 is about 304.6573954653.

The spelling of 28277120 in words is "twenty-eight million, two hundred seventy-seven thousand, one hundred twenty".