28425680640 has 864 divisors, whose sum is σ = 118280687616. Its totient is φ = 6166609920.

The previous prime is 28425680593. The next prime is 28425680651. The reversal of 28425680640 is 4608652482.

28425680640 is a `hidden beast` number, since 2 + 8 + 42 + 568 + 0 + 6 + 40 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207486652 + ... + 207486788.

It is an arithmetic number, because the mean of its divisors is an integer number (136898944).

Almost surely, 2^28425680640 is an apocalyptic number.

28425680640 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 28425680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59140343808).

28425680640 is an abundant number, since it is smaller than the sum of its proper divisors (89855006976).

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

28425680640 is a wasteful number, since it uses less digits than its factorization.

28425680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 28425680640 in words is "twenty-eight billion, four hundred twenty-five million, six hundred eighty thousand, six hundred forty".