28072417920 has 384 divisors, whose sum is σ = 97197105600. Its totient is φ = 6868500480.

The previous prime is 28072417903. The next prime is 28072417921. The reversal of 28072417920 is 2971427082.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (28072417921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204908092 + ... + 204908228.

Almost surely, 2^28072417920 is an apocalyptic number.

28072417920 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 28072417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48598552800).

28072417920 is an abundant number, since it is smaller than the sum of its proper divisors (69124687680).

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

28072417920 is a wasteful number, since it uses less digits than its factorization.

28072417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 28072417920 in words is "twenty-eight billion, seventy-two million, four hundred seventeen thousand, nine hundred twenty".