28084320 has 240 divisors, whose sum is σ = 108673488. Its totient is φ = 6773760.

The previous prime is 28084319. The next prime is 28084349. The reversal of 28084320 is 2348082.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142462 + ... + 142658.

Almost surely, 2^28084320 is an apocalyptic number.

28084320 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 28084320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54336744).

28084320 is an abundant number, since it is smaller than the sum of its proper divisors (80589168).

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

28084320 is a wasteful number, since it uses less digits than its factorization.

28084320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 28084320 is about 5299.4641238525. The cubic root of 28084320 is about 303.9634074145.

The spelling of 28084320 in words is "twenty-eight million, eighty-four thousand, three hundred twenty".