28020716640 has 576 divisors, whose sum is σ = 120106022400. Its totient is φ = 6066772992.

The previous prime is 28020716611. The next prime is 28020716683. The reversal of 28020716640 is 4661702082.

28020716640 is a `hidden beast` number, since 2 + 8 + 0 + 2 + 0 + 7 + 1 + 6 + 640 = 666.

It is a super-2 number, since 2×28020716640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28020716595 and 28020716604.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4018437 + ... + 4025403.

It is an arithmetic number, because the mean of its divisors is an integer number (208517400).

Almost surely, 2^28020716640 is an apocalyptic number.

28020716640 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 28020716640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60053011200).

28020716640 is an abundant number, since it is smaller than the sum of its proper divisors (92085305760).

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

28020716640 is a wasteful number, since it uses less digits than its factorization.

28020716640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7024 (or 7003 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 28020716640 in words is "twenty-eight billion, twenty million, seven hundred sixteen thousand, six hundred forty".