4224528000 has 1024 divisors, whose sum is σ = 19552665600. Its totient is φ = 870912000.

The previous prime is 4224527987. The next prime is 4224528041. The reversal of 4224528000 is 8254224.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33263937 + ... + 33264063.

It is an arithmetic number, because the mean of its divisors is an integer number (19094400).

Almost surely, 2^4224528000 is an apocalyptic number.

4224528000 is a gapful number since it is divisible by the number (40) 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 4224528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9776332800).

4224528000 is an abundant number, since it is smaller than the sum of its proper divisors (15328137600).

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

4224528000 is a wasteful number, since it uses less digits than its factorization.

4224528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4224528000 is about 64996.3691293598. The cubic root of 4224528000 is about 1616.5633594430.

The spelling of 4224528000 in words is "four billion, two hundred twenty-four million, five hundred twenty-eight thousand".