28588480 has 56 divisors (see below), whose sum is σ = 69768720. Its totient is φ = 11151360.

The previous prime is 28588477. The next prime is 28588499. The reversal of 28588480 is 8488582.

It is a happy number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 12031 + ... + 14209.

It is an arithmetic number, because the mean of its divisors is an integer number (1245870).

Almost surely, 2^28588480 is an apocalyptic number.

28588480 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 28588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34884360).

28588480 is an abundant number, since it is smaller than the sum of its proper divisors (41180240).

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

28588480 is a wasteful number, since it uses less digits than its factorization.

28588480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 43.

The square root of 28588480 is about 5346.8196154350. The cubic root of 28588480 is about 305.7715126889.

The spelling of 28588480 in words is "twenty-eight million, five hundred eighty-eight thousand, four hundred eighty".