28380560 has 80 divisors (see below), whose sum is σ = 73589040. Its totient is φ = 10106880.

The previous prime is 28380557. The next prime is 28380571. The reversal of 28380560 is 6508382.

It can be written as a sum of positive squares in 8 ways, for example, as 1048576 + 27331984 = 1024^2 + 5228^2 .

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

It is a plaindrome in base 14.

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, 29690 + ... + 30630.

It is an arithmetic number, because the mean of its divisors is an integer number (919863).

Almost surely, 2^28380560 is an apocalyptic number.

28380560 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 28380560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36794520).

28380560 is an abundant number, since it is smaller than the sum of its proper divisors (45208480).

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

28380560 is a wasteful number, since it uses less digits than its factorization.

28380560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 28380560 is about 5327.3408000615. The cubic root of 28380560 is about 305.0284305666.

The spelling of 28380560 in words is "twenty-eight million, three hundred eighty thousand, five hundred sixty".