28632582 has 128 divisors (see below), whose sum is σ = 76032000. Its totient is φ = 7892640.

The previous prime is 28632577. The next prime is 28632587. The reversal of 28632582 is 28523682.

It is an interprime number because it is at equal distance from previous prime (28632577) and next prime (28632587).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28632587) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 485269 + ... + 485327.

It is an arithmetic number, because the mean of its divisors is an integer number (594000).

Almost surely, 2^28632582 is an apocalyptic number.

28632582 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 28632582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38016000).

28632582 is an abundant number, since it is smaller than the sum of its proper divisors (47399418).

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

28632582 is a wasteful number, since it uses less digits than its factorization.

28632582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 137 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 28632582 is about 5350.9421600313. The cubic root of 28632582 is about 305.9286646479.

Subtracting from 28632582 its reverse (28523682), we obtain a square (108900 = 330²).

It can be divided in two parts, 2863 and 2582, that added together give a palindrome (5445).

The spelling of 28632582 in words is "twenty-eight million, six hundred thirty-two thousand, five hundred eighty-two".