28692160924416 has 432 divisors, whose sum is σ = 90742022784000. Its totient is φ = 8014344560640.

The previous prime is 28692160924411. The next prime is 28692160924499. The reversal of 28692160924416 is 61442906129682.

It is a super-3 number, since 3×28692160924416³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28692160924416.

It is not an unprimeable number, because it can be changed into a prime (28692160924411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65108785 + ... + 65547983.

Almost surely, 2^{28692160924416} 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 28692160924416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45371011392000).

28692160924416 is an abundant number, since it is smaller than the sum of its proper divisors (62049861859584).

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

28692160924416 is a wasteful number, since it uses less digits than its factorization.

28692160924416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439296 (or 439271 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 28692160924416 in words is "twenty-eight trillion, six hundred ninety-two billion, one hundred sixty million, nine hundred twenty-four thousand, four hundred sixteen".