28520960 has 80 divisors (see below), whose sum is σ = 73729656. Its totient is φ = 10518528.

The previous prime is 28520959. The next prime is 28520981. The reversal of 28520960 is 6902582.

It can be written as a sum of positive squares in 4 ways, for example, as 24127744 + 4393216 = 4912^2 + 2096^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32852 + ... + 33708.

Almost surely, 2^28520960 is an apocalyptic number.

28520960 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 28520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36864828).

28520960 is an abundant number, since it is smaller than the sum of its proper divisors (45208696).

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

28520960 is an equidigital number, since it uses as much as digits as its factorization.

28520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 28520960 is about 5340.5018490775. The cubic root of 28520960 is about 305.5306001780.

The spelling of 28520960 in words is "twenty-eight million, five hundred twenty thousand, nine hundred sixty".