28595744640 has 384 divisors, whose sum is σ = 102794702400. Its totient is φ = 7316176896.

The previous prime is 28595744633. The next prime is 28595744647. The reversal of 28595744640 is 4644759582.

28595744640 is a `hidden beast` number, since 2 + 8 + 5 + 9 + 574 + 4 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28595744633) and next prime (28595744647).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×28595744640² (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 (28595744647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32238277 + ... + 32239163.

Almost surely, 2^28595744640 is an apocalyptic number.

28595744640 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 28595744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51397351200).

28595744640 is an abundant number, since it is smaller than the sum of its proper divisors (74198957760).

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

28595744640 is a wasteful number, since it uses less digits than its factorization.

28595744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 28595744640 in words is "twenty-eight billion, five hundred ninety-five million, seven hundred forty-four thousand, six hundred forty".