28766306304 has 170 divisors, whose sum is σ = 85958983220. Its totient is φ = 9586999296.

The previous prime is 28766306293. The next prime is 28766306329. The reversal of 28766306304 is 40360366782.

28766306304 is a `hidden beast` number, since 2 + 8 + 7 + 6 + 6 + 3 + 0 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28766306304.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 5305707 + ... + 5311125.

Almost surely, 2^28766306304 is an apocalyptic number.

28766306304 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 28766306304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42979491610).

28766306304 is an abundant number, since it is smaller than the sum of its proper divisors (57192676916).

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

28766306304 is an frugal number, since it uses more digits than its factorization.

28766306304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5463 (or 5424 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 28766306304 in words is "twenty-eight billion, seven hundred sixty-six million, three hundred six thousand, three hundred four".