32252448000 has 288 divisors, whose sum is σ = 107941841280. Its totient is φ = 8535244800.

The previous prime is 32252447987. The next prime is 32252448047. The reversal of 32252448000 is 84425223.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13342792 + ... + 13345208.

It is an arithmetic number, because the mean of its divisors is an integer number (374798060).

Almost surely, 2^32252448000 is an apocalyptic number.

32252448000 is a gapful number since it is divisible by the number (30) 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 32252448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53970920640).

32252448000 is an abundant number, since it is smaller than the sum of its proper divisors (75689393280).

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

32252448000 is a wasteful number, since it uses less digits than its factorization.

32252448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 32252448000 in words is "thirty-two billion, two hundred fifty-two million, four hundred forty-eight thousand".