28589760 has 140 divisors (see below), whose sum is σ = 101791008. Its totient is φ = 7617024.

The previous prime is 28589749. The next prime is 28589761. The reversal of 28589760 is 6798582.

28589760 is a `hidden beast` number, since 2 + 8 + 589 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (28589761) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25369 + ... + 26471.

Almost surely, 2^28589760 is an apocalyptic number.

28589760 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 28589760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50895504).

28589760 is an abundant number, since it is smaller than the sum of its proper divisors (73201248).

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

28589760 is a wasteful number, since it uses less digits than its factorization.

28589760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 28589760 is about 5346.9393114192. The cubic root of 28589760 is about 305.7760760852.

The spelling of 28589760 in words is "twenty-eight million, five hundred eighty-nine thousand, seven hundred sixty".