28680564240 has 400 divisors, whose sum is σ = 101845231488. Its totient is φ = 7478894592.

The previous prime is 28680564233. The next prime is 28680564247. The reversal of 28680564240 is 4246508682.

28680564240 is a `hidden beast` number, since 2 + 8 + 6 + 80 + 564 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28680564233) and next prime (28680564247).

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

It is not an unprimeable number, because it can be changed into a prime (28680564247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 64741459 + ... + 64741901.

Almost surely, 2^28680564240 is an apocalyptic number.

28680564240 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 28680564240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50922615744).

28680564240 is an abundant number, since it is smaller than the sum of its proper divisors (73164667248).

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

28680564240 is a wasteful number, since it uses less digits than its factorization.

28680564240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 653 counting only the distinct ones).

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

The spelling of 28680564240 in words is "twenty-eight billion, six hundred eighty million, five hundred sixty-four thousand, two hundred forty".