28000960 has 112 divisors (see below), whose sum is σ = 73737216. Its totient is φ = 10063872.

The previous prime is 28000949. The next prime is 28000961. The reversal of 28000960 is 6900082.

It is not an unprimeable number, because it can be changed into a prime (28000961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220417 + ... + 220543.

It is an arithmetic number, because the mean of its divisors is an integer number (658368).

Almost surely, 2^28000960 is an apocalyptic number.

28000960 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 28000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36868608).

28000960 is an abundant number, since it is smaller than the sum of its proper divisors (45736256).

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

28000960 is a wasteful number, since it uses less digits than its factorization.

28000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 28000960 is about 5291.5933328252. The cubic root of 28000960 is about 303.6623675353.

The spelling of 28000960 in words is "twenty-eight million, nine hundred sixty", and thus it is an aban number.