28054820640 has 480 divisors, whose sum is σ = 112518455616. Its totient is φ = 5826938880.

The previous prime is 28054820623. The next prime is 28054820641. The reversal of 28054820640 is 4602845082.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×28054820640² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28054820641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12676174 + ... + 12678386.

Almost surely, 2^28054820640 is an apocalyptic number.

28054820640 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 28054820640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56259227808).

28054820640 is an abundant number, since it is smaller than the sum of its proper divisors (84463634976).

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

28054820640 is a wasteful number, since it uses less digits than its factorization.

28054820640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 28054820640 in words is "twenty-eight billion, fifty-four million, eight hundred twenty thousand, six hundred forty".