28320832 has 56 divisors (see below), whose sum is σ = 59143392. Its totient is φ = 13440000.

The previous prime is 28320829. The next prime is 28320839. The reversal of 28320832 is 23802382.

It is a super-4 number, since 4×28320832⁴ (a number of 31 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28320832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28320839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112707 + ... + 112957.

It is an arithmetic number, because the mean of its divisors is an integer number (1056132).

Almost surely, 2^28320832 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 28320832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29571696).

28320832 is an abundant number, since it is smaller than the sum of its proper divisors (30822560).

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

28320832 is a wasteful number, since it uses less digits than its factorization.

28320832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 28320832 is about 5321.7320488728. The cubic root of 28320832 is about 304.8142988541.

It can be divided in two parts, 283 and 20832, that added together give a triangular number (21115 = T₂₀₅).

The spelling of 28320832 in words is "twenty-eight million, three hundred twenty thousand, eight hundred thirty-two".