28225120 has 192 divisors, whose sum is σ = 87091200. Its totient is φ = 8386560.

The previous prime is 28225111. The next prime is 28225121. The reversal of 28225120 is 2152282.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 28225091 and 28225100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28225121) 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 31 ways as a sum of consecutive naturals, for example, 357241 + ... + 357319.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 2^28225120 is an apocalyptic number.

28225120 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 28225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43545600).

28225120 is an abundant number, since it is smaller than the sum of its proper divisors (58866080).

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

28225120 is a wasteful number, since it uses less digits than its factorization.

28225120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 28225120 is about 5312.7318772925. The cubic root of 28225120 is about 304.4705317223.

The spelling of 28225120 in words is "twenty-eight million, two hundred twenty-five thousand, one hundred twenty".