28209357864 has 128 divisors (see below), whose sum is σ = 84207772800. Its totient is φ = 8717829120.

The previous prime is 28209357859. The next prime is 28209357871. The reversal of 28209357864 is 46875390282.

28209357864 is a `hidden beast` number, since 2 + 8 + 2 + 0 + 9 + 3 + 578 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28209357864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188694 + ... + 303354.

It is an arithmetic number, because the mean of its divisors is an integer number (657873225).

Almost surely, 2^28209357864 is an apocalyptic number.

28209357864 is a gapful number since it is divisible by the number (24) 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 28209357864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42103886400).

28209357864 is an abundant number, since it is smaller than the sum of its proper divisors (55998414936).

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

28209357864 is a wasteful number, since it uses less digits than its factorization.

28209357864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114760 (or 114750 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 28209357864 in words is "twenty-eight billion, two hundred nine million, three hundred fifty-seven thousand, eight hundred sixty-four".