28284192 has 144 divisors (see below), whose sum is σ = 87567480. Its totient is φ = 8626176.

The previous prime is 28284163. The next prime is 28284211. The reversal of 28284192 is 29148282.

It can be written as a sum of positive squares in 4 ways, for example, as 28259856 + 24336 = 5316^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259434 + ... + 259542.

Almost surely, 2^28284192 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 28284192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43783740).

28284192 is an abundant number, since it is smaller than the sum of its proper divisors (59283288).

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

28284192 is a wasteful number, since it uses less digits than its factorization.

28284192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 184 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 28284192 is about 5318.2884464835. The cubic root of 28284192 is about 304.6827912329.

The spelling of 28284192 in words is "twenty-eight million, two hundred eighty-four thousand, one hundred ninety-two".