32888812320 has 960 divisors, whose sum is σ = 145073617920. Its totient is φ = 6831931392.

The previous prime is 32888812283. The next prime is 32888812321. The reversal of 32888812320 is 2321888823.

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

It is not an unprimeable number, because it can be changed into a prime (32888812321) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 93169264 + ... + 93169616.

It is an arithmetic number, because the mean of its divisors is an integer number (151118352).

Almost surely, 2^32888812320 is an apocalyptic number.

32888812320 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 32888812320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72536808960).

32888812320 is an abundant number, since it is smaller than the sum of its proper divisors (112184805600).

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

32888812320 is a wasteful number, since it uses less digits than its factorization.

32888812320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 32888812320 in words is "thirty-two billion, eight hundred eighty-eight million, eight hundred twelve thousand, three hundred twenty".