32252732928000 has 4368 divisors, whose sum is σ = 144065283800256. Its totient is φ = 7147251302400.

The previous prime is 32252732927969. The next prime is 32252732928007. The reversal of 32252732928000 is 82923725223.

32252732928000 is a `hidden beast` number, since 3 + 2 + 2 + 527 + 32 + 92 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32252732928007) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1402292735989 + ... + 1402292736011.

It is an arithmetic number, because the mean of its divisors is an integer number (32981978892).

Almost surely, 2^{32252732928000} is an apocalyptic number.

32252732928000 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 32252732928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72032641900128).

32252732928000 is an abundant number, since it is smaller than the sum of its proper divisors (111812550872256).

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

32252732928000 is an equidigital number, since it uses as much as digits as its factorization.

32252732928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 32252732928000 in words is "thirty-two trillion, two hundred fifty-two billion, seven hundred thirty-two million, nine hundred twenty-eight thousand".