32628113044992 has 240 divisors, whose sum is σ = 98160662680080. Its totient is φ = 10819677192192.

The previous prime is 32628113044937. The next prime is 32628113044993. The reversal of 32628113044992 is 29944031182623.

It is a happy number.

32628113044992 is a `hidden beast` number, since 3 + 2 + 6 + 2 + 81 + 1 + 30 + 449 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32628113044993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23332884 + ... + 24691692.

It is an arithmetic number, because the mean of its divisors is an integer number (409002761167).

Almost surely, 2^{32628113044992} is an apocalyptic number.

32628113044992 is a gapful number since it is divisible by the number (32) 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 32628113044992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49080331340040).

32628113044992 is an abundant number, since it is smaller than the sum of its proper divisors (65532549635088).

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

32628113044992 is an equidigital number, since it uses as much as digits as its factorization.

32628113044992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359035 (or 1359007 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 32628113044992 in words is "thirty-two trillion, six hundred twenty-eight billion, one hundred thirteen million, forty-four thousand, nine hundred ninety-two".