28595760 has 80 divisors (see below), whose sum is σ = 93327360. Its totient is φ = 7223040.

The previous prime is 28595759. The next prime is 28595767. The reversal of 28595760 is 6759582.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (28595767) by changing a digit.

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, 1425 + ... + 7695.

It is an arithmetic number, because the mean of its divisors is an integer number (1166592).

Almost surely, 2^28595760 is an apocalyptic number.

28595760 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 28595760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46663680).

28595760 is an abundant number, since it is smaller than the sum of its proper divisors (64731600).

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

28595760 is a wasteful number, since it uses less digits than its factorization.

28595760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6306 (or 6300 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 28595760 is about 5347.5003506311. The cubic root of 28595760 is about 305.7974651901.

The spelling of 28595760 in words is "twenty-eight million, five hundred ninety-five thousand, seven hundred sixty".