28689120 has 192 divisors, whose sum is σ = 104328000. Its totient is φ = 7354368.

The previous prime is 28689113. The next prime is 28689137. The reversal of 28689120 is 2198682.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125166 + ... + 125394.

It is an arithmetic number, because the mean of its divisors is an integer number (543375).

Almost surely, 2^28689120 is an apocalyptic number.

28689120 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 28689120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52164000).

28689120 is an abundant number, since it is smaller than the sum of its proper divisors (75638880).

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

28689120 is a wasteful number, since it uses less digits than its factorization.

28689120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 28689120 is about 5356.2225495213. Note that the first 3 decimals coincide. The cubic root of 28689120 is about 306.1298948720.

The spelling of 28689120 in words is "twenty-eight million, six hundred eighty-nine thousand, one hundred twenty".