32788189720 has 256 divisors, whose sum is σ = 89573299200. Its totient is φ = 10642544640.

The previous prime is 32788189703. The next prime is 32788189751. The reversal of 32788189720 is 2798188723.

It is a super-2 number, since 2×32788189720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

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 63 ways as a sum of consecutive naturals, for example, 26809029 + ... + 26810251.

It is an arithmetic number, because the mean of its divisors is an integer number (349895700).

Almost surely, 2^32788189720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32788189720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44786649600).

32788189720 is an abundant number, since it is smaller than the sum of its proper divisors (56785109480).

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

32788189720 is a wasteful number, since it uses less digits than its factorization.

32788189720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 55.

The spelling of 32788189720 in words is "thirty-two billion, seven hundred eighty-eight million, one hundred eighty-nine thousand, seven hundred twenty".