28087584 has 96 divisors (see below), whose sum is σ = 86083200. Its totient is φ = 8015616.

The previous prime is 28087571. The next prime is 28087589. The reversal of 28087584 is 48578082.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28087589) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32502 + ... + 33354.

It is an arithmetic number, because the mean of its divisors is an integer number (896700).

Almost surely, 2^28087584 is an apocalyptic number.

28087584 is a gapful number since it is divisible by the number (24) 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 28087584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43041600).

28087584 is an abundant number, since it is smaller than the sum of its proper divisors (57995616).

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

28087584 is an equidigital number, since it uses as much as digits as its factorization.

28087584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 28087584 is about 5299.7720705706. The cubic root of 28087584 is about 303.9751826463.

The spelling of 28087584 in words is "twenty-eight million, eighty-seven thousand, five hundred eighty-four".