28892000 has 96 divisors (see below), whose sum is σ = 73592064. Its totient is φ = 11136000.

The previous prime is 28891999. The next prime is 28892009. The reversal of 28892000 is 29882.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28892009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123884 + ... + 124116.

It is an arithmetic number, because the mean of its divisors is an integer number (766584).

Almost surely, 2^28892000 is an apocalyptic number.

28892000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36796032).

28892000 is an abundant number, since it is smaller than the sum of its proper divisors (44700064).

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

28892000 is a wasteful number, since it uses less digits than its factorization.

28892000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 28892000 is about 5375.1279054549. The cubic root of 28892000 is about 306.8498170814.

The spelling of 28892000 in words is "twenty-eight million, eight hundred ninety-two thousand".