28582632 has 168 divisors, whose sum is σ = 90008550. Its totient is φ = 8491392.

The previous prime is 28582613. The next prime is 28582633. The reversal of 28582632 is 23628582.

It can be written as a sum of positive squares in 3 ways, for example, as 14699556 + 13883076 = 3834^2 + 3726^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28582633) 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 41 ways as a sum of consecutive naturals, for example, 985594 + ... + 985622.

Almost surely, 2^28582632 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 28582632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45004275).

28582632 is an abundant number, since it is smaller than the sum of its proper divisors (61425918).

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

28582632 is a wasteful number, since it uses less digits than its factorization.

28582632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 47 counting only the distinct ones).

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

The square root of 28582632 is about 5346.2727203165. The cubic root of 28582632 is about 305.7506619389.

It can be divided in two parts, 28 and 582632, that added together give a triangular number (582660 = T₁₀₇₉).

The spelling of 28582632 in words is "twenty-eight million, five hundred eighty-two thousand, six hundred thirty-two".