28536960 has 128 divisors (see below), whose sum is σ = 92534400. Its totient is φ = 7479296.

The previous prime is 28536929. The next prime is 28536971. The reversal of 28536960 is 6963582.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170797 + ... + 170963.

It is an arithmetic number, because the mean of its divisors is an integer number (722925).

Almost surely, 2^28536960 is an apocalyptic number.

28536960 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 28536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46267200).

28536960 is an abundant number, since it is smaller than the sum of its proper divisors (63997440).

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

28536960 is a wasteful number, since it uses less digits than its factorization.

28536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 28536960 is about 5341.9996256084. Note that the first 3 decimals coincide. The cubic root of 28536960 is about 305.5877227965.

The spelling of 28536960 in words is "twenty-eight million, five hundred thirty-six thousand, nine hundred sixty".