4182528000 has 416 divisors, whose sum is σ = 15946894080. Its totient is φ = 953548800.

The previous prime is 4182527941. The next prime is 4182528041. The reversal of 4182528000 is 8252814.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 10751806 + ... + 10752194.

It is an arithmetic number, because the mean of its divisors is an integer number (38333880).

Almost surely, 2^4182528000 is an apocalyptic number.

4182528000 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 4182528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7973447040).

4182528000 is an abundant number, since it is smaller than the sum of its proper divisors (11764366080).

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

4182528000 is an equidigital number, since it uses as much as digits as its factorization.

4182528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 4182528000 is about 64672.4670938105. The cubic root of 4182528000 is about 1611.1882487399.

The spelling of 4182528000 in words is "four billion, one hundred eighty-two million, five hundred twenty-eight thousand".