28357514640 has 640 divisors, whose sum is σ = 121642214400. Its totient is φ = 5912248320.

The previous prime is 28357514639. The next prime is 28357514651. The reversal of 28357514640 is 4641575382.

28357514640 is a `hidden beast` number, since 2 + 8 + 3 + 575 + 14 + 64 + 0 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 17493030 + ... + 17494650.

It is an arithmetic number, because the mean of its divisors is an integer number (190065960).

Almost surely, 2^28357514640 is an apocalyptic number.

28357514640 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 28357514640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60821107200).

28357514640 is an abundant number, since it is smaller than the sum of its proper divisors (93284699760).

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

28357514640 is a wasteful number, since it uses less digits than its factorization.

28357514640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 28357514640 in words is "twenty-eight billion, three hundred fifty-seven million, five hundred fourteen thousand, six hundred forty".