28837964518272 has 2560 divisors, whose sum is σ = 115350504192000. Its totient is φ = 7110822297600.

The previous prime is 28837964518267. The next prime is 28837964518283. The reversal of 28837964518272 is 27281546973882.

28837964518272 is a `hidden beast` number, since 2 + 8 + 8 + 3 + 7 + 96 + 451 + 82 + 7 + 2 = 666.

It is a super-2 number, since 2×28837964518272² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 28837964518272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 190979897397 + ... + 190979897547.

It is an arithmetic number, because the mean of its divisors is an integer number (45058790700).

Almost surely, 2^{28837964518272} 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 28837964518272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57675252096000).

28837964518272 is an abundant number, since it is smaller than the sum of its proper divisors (86512539673728).

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

28837964518272 is an frugal number, since it uses more digits than its factorization.

28837964518272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 193 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 72.

The spelling of 28837964518272 in words is "twenty-eight trillion, eight hundred thirty-seven billion, nine hundred sixty-four million, five hundred eighteen thousand, two hundred seventy-two".