28518960 has 80 divisors (see below), whose sum is σ = 88922880. Its totient is φ = 7560960.

The previous prime is 28518953. The next prime is 28518991. The reversal of 28518960 is 6981582.

28518960 = 160² + 161² + ... + 447².

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79261 + ... + 79619.

It is an arithmetic number, because the mean of its divisors is an integer number (1111536).

Almost surely, 2^28518960 is an apocalyptic number.

28518960 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 28518960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44461440).

28518960 is an abundant number, since it is smaller than the sum of its proper divisors (60403920).

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

28518960 is a wasteful number, since it uses less digits than its factorization.

28518960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 28518960 is about 5340.3145974746. The cubic root of 28518960 is about 305.5234583487.

It can be divided in two parts, 2851 and 8960, that added together give a palindrome (11811).

The spelling of 28518960 in words is "twenty-eight million, five hundred eighteen thousand, nine hundred sixty".