28192996048896 has 1080 divisors, whose sum is σ = 104041481137776. Its totient is φ = 7580418048000.

The previous prime is 28192996048859. The next prime is 28192996048897. The reversal of 28192996048896 is 69884069929182.

28192996048896 is a `hidden beast` number, since 28 + 1 + 9 + 29 + 9 + 6 + 0 + 488 + 96 = 666.

It is a super-3 number, since 3×28192996048896³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28192996048897) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3316428646 + ... + 3316437146.

Almost surely, 2^{28192996048896} 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 28192996048896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52020740568888).

28192996048896 is an abundant number, since it is smaller than the sum of its proper divisors (75848485088880).

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

28192996048896 is an frugal number, since it uses more digits than its factorization.

28192996048896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8575 (or 8530 counting only the distinct ones).

The product of its (nonzero) digits is 1934917632, while the sum is 81.

The spelling of 28192996048896 in words is "twenty-eight trillion, one hundred ninety-two billion, nine hundred ninety-six million, forty-eight thousand, eight hundred ninety-six".