28225584 has 100 divisors (see below), whose sum is σ = 84622560. Its totient is φ = 9072000.

The previous prime is 28225573. The next prime is 28225591. The reversal of 28225584 is 48552282.

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

Its product of digits (51200) is a multiple of the sum of its prime factors (800).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37209 + ... + 37959.

Almost surely, 2^28225584 is an apocalyptic number.

28225584 is a gapful number since it is divisible by the number (24) 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 28225584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42311280).

28225584 is an abundant number, since it is smaller than the sum of its proper divisors (56396976).

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

28225584 is a wasteful number, since it uses less digits than its factorization.

28225584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 785 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The square root of 28225584 is about 5312.7755457952. The cubic root of 28225584 is about 304.4722001362.

The spelling of 28225584 in words is "twenty-eight million, two hundred twenty-five thousand, five hundred eighty-four".