28680960 has 288 divisors, whose sum is σ = 115379712. Its totient is φ = 5898240.

The previous prime is 28680959. The next prime is 28680961. The reversal of 28680960 is 6908682.

It is an interprime number because it is at equal distance from previous prime (28680959) and next prime (28680961).

It is not an unprimeable number, because it can be changed into a prime (28680961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295632 + ... + 295728.

It is an arithmetic number, because the mean of its divisors is an integer number (400624).

Almost surely, 2^28680960 is an apocalyptic number.

28680960 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 28680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57689856).

28680960 is an abundant number, since it is smaller than the sum of its proper divisors (86698752).

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

28680960 is a wasteful number, since it uses less digits than its factorization.

28680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 28680960 is about 5355.4607644908. The cubic root of 28680960 is about 306.1008681095.

The spelling of 28680960 in words is "twenty-eight million, six hundred eighty thousand, nine hundred sixty".