28588160 has 64 divisors (see below), whose sum is σ = 71971200. Its totient is φ = 10828800.

The previous prime is 28588129. The next prime is 28588177. The reversal of 28588160 is 6188582.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10985 + ... + 13335.

It is an arithmetic number, because the mean of its divisors is an integer number (1124550).

Almost surely, 2^28588160 is an apocalyptic number.

28588160 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 28588160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35985600).

28588160 is an abundant number, since it is smaller than the sum of its proper divisors (43383040).

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

28588160 is a wasteful number, since it uses less digits than its factorization.

28588160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 38.

The square root of 28588160 is about 5346.7896910202. The cubic root of 28588160 is about 305.7703718185.

The spelling of 28588160 in words is "twenty-eight million, five hundred eighty-eight thousand, one hundred sixty".