4413528000 has 840 divisors, whose sum is σ = 19130070960. Its totient is φ = 1001548800.

The previous prime is 4413527977. The next prime is 4413528019. The reversal of 4413528000 is 8253144.

It is a tau number, because it is divible by the number of its divisors (840).

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 119 ways as a sum of consecutive naturals, for example, 31751931 + ... + 31752069.

It is an arithmetic number, because the mean of its divisors is an integer number (22773894).

Almost surely, 2^4413528000 is an apocalyptic number.

4413528000 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 4413528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9565035480).

4413528000 is an abundant number, since it is smaller than the sum of its proper divisors (14716542960).

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

4413528000 is a wasteful number, since it uses less digits than its factorization.

4413528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4413528000 is about 66434.3886853789. The cubic root of 4413528000 is about 1640.3201833707.

The spelling of 4413528000 in words is "four billion, four hundred thirteen million, five hundred twenty-eight thousand".