28338664320 has 512 divisors, whose sum is σ = 105824102400. Its totient is φ = 7153090560.

The previous prime is 28338664283. The next prime is 28338664327. The reversal of 28338664320 is 2346683382.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28338664327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44910405 + ... + 44911035.

It is an arithmetic number, because the mean of its divisors is an integer number (206687700).

Almost surely, 2^28338664320 is an apocalyptic number.

28338664320 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 28338664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52912051200).

28338664320 is an abundant number, since it is smaller than the sum of its proper divisors (77485438080).

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

28338664320 is a wasteful number, since it uses less digits than its factorization.

28338664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 28338664320 in words is "twenty-eight billion, three hundred thirty-eight million, six hundred sixty-four thousand, three hundred twenty".