28863120 has 240 divisors, whose sum is σ = 108868032. Its totient is φ = 6236160.

The previous prime is 28863119. The next prime is 28863151. The reversal of 28863120 is 2136882.

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

It is a super-2 number, since 2×28863120² = 1666159392268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 995266 + ... + 995294.

Almost surely, 2^28863120 is an apocalyptic number.

28863120 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 28863120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54434016).

28863120 is an abundant number, since it is smaller than the sum of its proper divisors (80004912).

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

28863120 is a wasteful number, since it uses less digits than its factorization.

28863120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 28863120 is about 5372.4407860860. The cubic root of 28863120 is about 306.7475422063.

It can be divided in two parts, 2886 and 3120, that added together give a palindrome (6006).

The spelling of 28863120 in words is "twenty-eight million, eight hundred sixty-three thousand, one hundred twenty".