28932808320 has 768 divisors, whose sum is σ = 112096857600. Its totient is φ = 6831931392.

The previous prime is 28932808273. The next prime is 28932808343. The reversal of 28932808320 is 2380823982.

It is a super-2 number, since 2×28932808320² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 366238041 + ... + 366238119.

It is an arithmetic number, because the mean of its divisors is an integer number (145959450).

Almost surely, 2^28932808320 is an apocalyptic number.

28932808320 is a gapful number since it is divisible by the number (20) 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 28932808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56048428800).

28932808320 is an abundant number, since it is smaller than the sum of its proper divisors (83164049280).

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

28932808320 is a wasteful number, since it uses less digits than its factorization.

28932808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 28932808320 in words is "twenty-eight billion, nine hundred thirty-two million, eight hundred eight thousand, three hundred twenty".