28913328000 has 1024 divisors, whose sum is σ = 117315993600. Its totient is φ = 6967296000.

The previous prime is 28913327999. The next prime is 28913328029. The reversal of 28913328000 is 82331982.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 227663937 + ... + 227664063.

It is an arithmetic number, because the mean of its divisors is an integer number (114566400).

Almost surely, 2^28913328000 is an apocalyptic number.

28913328000 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 28913328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58657996800).

28913328000 is an abundant number, since it is smaller than the sum of its proper divisors (88402665600).

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

28913328000 is a wasteful number, since it uses less digits than its factorization.

28913328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 28913328000 its reverse (82331982), we get a palindrome (28995659982).

The spelling of 28913328000 in words is "twenty-eight billion, nine hundred thirteen million, three hundred twenty-eight thousand".