28813120 has 112 divisors (see below), whose sum is σ = 82661760. Its totient is φ = 9345024.

The previous prime is 28813087. The next prime is 28813129. The reversal of 28813120 is 2131882.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28813129) by changing a digit.

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, 42222 + ... + 42898.

Almost surely, 2^28813120 is an apocalyptic number.

28813120 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 28813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41330880).

28813120 is an abundant number, since it is smaller than the sum of its proper divisors (53848640).

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

28813120 is a wasteful number, since it uses less digits than its factorization.

28813120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 28813120 is about 5367.7853906430. The cubic root of 28813120 is about 306.5703120936.

The spelling of 28813120 in words is "twenty-eight million, eight hundred thirteen thousand, one hundred twenty".