28722369312 has 1440 divisors, whose sum is σ = 120528777600. Its totient is φ = 6521389056.

The previous prime is 28722369301. The next prime is 28722369317. The reversal of 28722369312 is 21396322782.

28722369312 is a `hidden beast` number, since 287 + 2 + 2 + 369 + 3 + 1 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (28722369317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 990426514 + ... + 990426542.

It is an arithmetic number, because the mean of its divisors is an integer number (83700540).

Almost surely, 2^28722369312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28722369312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60264388800).

28722369312 is an abundant number, since it is smaller than the sum of its proper divisors (91806408288).

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

28722369312 is a wasteful number, since it uses less digits than its factorization.

28722369312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 90 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 28722369312 in words is "twenty-eight billion, seven hundred twenty-two million, three hundred sixty-nine thousand, three hundred twelve".