28248192 has 192 divisors, whose sum is σ = 96744960. Its totient is φ = 7741440.

The previous prime is 28248179. The next prime is 28248239. The reversal of 28248192 is 29184282.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 a congruent number.

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, 249928 + ... + 250040.

It is an arithmetic number, because the mean of its divisors is an integer number (503880).

Almost surely, 2^28248192 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 28248192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48372480).

28248192 is an abundant number, since it is smaller than the sum of its proper divisors (68496768).

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

28248192 is a wasteful number, since it uses less digits than its factorization.

28248192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

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

The square root of 28248192 is about 5314.9028213129. The cubic root of 28248192 is about 304.5534700281.

The spelling of 28248192 in words is "twenty-eight million, two hundred forty-eight thousand, one hundred ninety-two".