28007792960 has 224 divisors, whose sum is σ = 77439877632. Its totient is φ = 9450455040.

The previous prime is 28007792959. The next prime is 28007792963. The reversal of 28007792960 is 6929770082.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 28007792899 and 28007792908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28007792963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53757500 + ... + 53758020.

Almost surely, 2^28007792960 is an apocalyptic number.

28007792960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28007792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38719938816).

28007792960 is an abundant number, since it is smaller than the sum of its proper divisors (49432084672).

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

28007792960 is a wasteful number, since it uses less digits than its factorization.

28007792960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 50.

The spelling of 28007792960 in words is "twenty-eight billion, seven million, seven hundred ninety-two thousand, nine hundred sixty".