28851120 has 240 divisors, whose sum is σ = 107716320. Its totient is φ = 7091712.

The previous prime is 28851107. The next prime is 28851127. The reversal of 28851120 is 2115882.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (28851127) 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 47 ways as a sum of consecutive naturals, for example, 779742 + ... + 779778.

It is an arithmetic number, because the mean of its divisors is an integer number (448818).

Almost surely, 2^28851120 is an apocalyptic number.

28851120 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 28851120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53858160).

28851120 is an abundant number, since it is smaller than the sum of its proper divisors (78865200).

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

28851120 is a wasteful number, since it uses less digits than its factorization.

28851120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 28851120 is about 5371.3238591617. The cubic root of 28851120 is about 306.7050256575.

It can be divided in two parts, 2885 and 1120, that added together give a triangular number (4005 = T₈₉).

The spelling of 28851120 in words is "twenty-eight million, eight hundred fifty-one thousand, one hundred twenty".