32099977728 has 1280 divisors, whose sum is σ = 131991552000. Its totient is φ = 7453016064.

The previous prime is 32099977727. The next prime is 32099977753. The reversal of 32099977728 is 82777999023.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (32099977727) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 406328793 + ... + 406328871.

It is an arithmetic number, because the mean of its divisors is an integer number (103118400).

Almost surely, 2^32099977728 is an apocalyptic number.

32099977728 is a gapful number since it is divisible by the number (38) 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 32099977728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65995776000).

32099977728 is an abundant number, since it is smaller than the sum of its proper divisors (99891574272).

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

32099977728 is a wasteful number, since it uses less digits than its factorization.

32099977728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 63.

The spelling of 32099977728 in words is "thirty-two billion, ninety-nine million, nine hundred seventy-seven thousand, seven hundred twenty-eight".