28309138471296 has 1024 divisors, whose sum is σ = 95606894592000. Its totient is φ = 8190697439232.

The previous prime is 28309138471283. The next prime is 28309138471301. The reversal of 28309138471296 is 69217483190382.

28309138471296 is a `hidden beast` number, since 2 + 8 + 3 + 0 + 9 + 138 + 471 + 29 + 6 = 666.

It is a super-2 number, since 2×28309138471296² (a number of 28 digits) contains 22 as substring.

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, 17616140125 + ... + 17616141731.

It is an arithmetic number, because the mean of its divisors is an integer number (93366108000).

Almost surely, 2^{28309138471296} 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 28309138471296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47803447296000).

28309138471296 is an abundant number, since it is smaller than the sum of its proper divisors (67297756120704).

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

28309138471296 is a wasteful number, since it uses less digits than its factorization.

28309138471296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 28309138471296 in words is "twenty-eight trillion, three hundred nine billion, one hundred thirty-eight million, four hundred seventy-one thousand, two hundred ninety-six".