28467095884416 has 512 divisors, whose sum is σ = 97198133760000. Its totient is φ = 8034100162560.

The previous prime is 28467095884291. The next prime is 28467095884429. The reversal of 28467095884416 is 61448859076482.

28467095884416 is a `hidden beast` number, since 2 + 8 + 46 + 7 + 0 + 95 + 8 + 84 + 416 = 666.

It is a super-2 number, since 2×28467095884416² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 903386101 + ... + 903417611.

It is an arithmetic number, because the mean of its divisors is an integer number (189840105000).

Almost surely, 2^{28467095884416} 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 28467095884416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48599066880000).

28467095884416 is an abundant number, since it is smaller than the sum of its proper divisors (68731037875584).

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

28467095884416 is a wasteful number, since it uses less digits than its factorization.

28467095884416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31997 (or 31979 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 28467095884416 in words is "twenty-eight trillion, four hundred sixty-seven billion, ninety-five million, eight hundred eighty-four thousand, four hundred sixteen".