28438342272 has 256 divisors, whose sum is σ = 88833024000. Its totient is φ = 8937815040.

The previous prime is 28438342211. The next prime is 28438342291. The reversal of 28438342272 is 27224383482.

28438342272 is a `hidden beast` number, since 2 + 8 + 4 + 38 + 342 + 272 = 666.

It is a super-2 number, since 2×28438342272² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5641129 + ... + 5646167.

It is an arithmetic number, because the mean of its divisors is an integer number (347004000).

Almost surely, 2^28438342272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28438342272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44416512000).

28438342272 is an abundant number, since it is smaller than the sum of its proper divisors (60394681728).

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

28438342272 is a wasteful number, since it uses less digits than its factorization.

28438342272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5156 (or 5138 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The spelling of 28438342272 in words is "twenty-eight billion, four hundred thirty-eight million, three hundred forty-two thousand, two hundred seventy-two".