28068560640 has 864 divisors, whose sum is σ = 107995410432. Its totient is φ = 6967296000.

The previous prime is 28068560633. The next prime is 28068560657. The reversal of 28068560640 is 4606586082.

28068560640 is a `hidden beast` number, since 2 + 80 + 6 + 8 + 560 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 395331805 + ... + 395331875.

It is an arithmetic number, because the mean of its divisors is an integer number (124994688).

Almost surely, 2^28068560640 is an apocalyptic number.

28068560640 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 28068560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53997705216).

28068560640 is an abundant number, since it is smaller than the sum of its proper divisors (79926849792).

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

28068560640 is an equidigital number, since it uses as much as digits as its factorization.

28068560640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 28068560640 in words is "twenty-eight billion, sixty-eight million, five hundred sixty thousand, six hundred forty".