28595773440 has 1008 divisors, whose sum is σ = 117860874768. Its totient is φ = 6624903168.

The previous prime is 28595773421. The next prime is 28595773447. The reversal of 28595773440 is 4437759582.

It is a happy number.

28595773440 is a `hidden beast` number, since 2 + 8 + 595 + 7 + 7 + 3 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28595773447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1682104312 + ... + 1682104328.

It is an arithmetic number, because the mean of its divisors is an integer number (116925471).

Almost surely, 2^28595773440 is an apocalyptic number.

28595773440 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 28595773440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58930437384).

28595773440 is an abundant number, since it is smaller than the sum of its proper divisors (89265101328).

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

28595773440 is an equidigital number, since it uses as much as digits as its factorization.

28595773440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 28595773440 in words is "twenty-eight billion, five hundred ninety-five million, seven hundred seventy-three thousand, four hundred forty".