28808832 has 128 divisors (see below), whose sum is σ = 85680000. Its totient is φ = 8515584.

The previous prime is 28808779. The next prime is 28808867. The reversal of 28808832 is 23880882.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144669 + ... + 144867.

It is an arithmetic number, because the mean of its divisors is an integer number (669375).

Almost surely, 2^28808832 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 28808832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42840000).

28808832 is an abundant number, since it is smaller than the sum of its proper divisors (56871168).

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

28808832 is a wasteful number, since it uses less digits than its factorization.

28808832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 28808832 is about 5367.3859559380. The cubic root of 28808832 is about 306.5551032962. Note that the first 3 decimals are identical.

The spelling of 28808832 in words is "twenty-eight million, eight hundred eight thousand, eight hundred thirty-two".