28585632 has 48 divisors (see below), whose sum is σ = 76083840. Its totient is φ = 9395712.

The previous prime is 28585631. The next prime is 28585649. The reversal of 28585632 is 23658582.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (28585631) 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 7 ways as a sum of consecutive naturals, for example, 4969 + ... + 9047.

It is an arithmetic number, because the mean of its divisors is an integer number (1585080).

Almost surely, 2^28585632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28585632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38041920).

28585632 is an abundant number, since it is smaller than the sum of its proper divisors (47498208).

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

28585632 is a wasteful number, since it uses less digits than its factorization.

28585632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4165 (or 4157 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 28585632 is about 5346.5532822558. The cubic root of 28585632 is about 305.7613586433.

The spelling of 28585632 in words is "twenty-eight million, five hundred eighty-five thousand, six hundred thirty-two".