28289952 has 96 divisors (see below), whose sum is σ = 83462400. Its totient is φ = 9321984.

The previous prime is 28289951. The next prime is 28289981. The reversal of 28289952 is 25998282.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 28289898 and 28289907.

It is not an unprimeable number, because it can be changed into a prime (28289951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118249 + ... + 118487.

It is an arithmetic number, because the mean of its divisors is an integer number (869400).

Almost surely, 2^28289952 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 28289952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41731200).

28289952 is an abundant number, since it is smaller than the sum of its proper divisors (55172448).

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

28289952 is a wasteful number, since it uses less digits than its factorization.

28289952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 381 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 28289952 is about 5318.8299465202. The cubic root of 28289952 is about 304.7034724408.

It can be divided in two parts, 28289 and 952, that added together give a square (29241 = 171²).

The spelling of 28289952 in words is "twenty-eight million, two hundred eighty-nine thousand, nine hundred fifty-two".