28229747616 has 288 divisors, whose sum is σ = 96189367680. Its totient is φ = 7890296832.

The previous prime is 28229747537. The next prime is 28229747627. The reversal of 28229747616 is 61674792282.

28229747616 is a `hidden beast` number, since 2 + 82 + 2 + 97 + 476 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×28229747616⁴ (a number of 43 digits) contains 4444 as substring.

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

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

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 47 ways as a sum of consecutive naturals, for example, 13358976 + ... + 13361088.

It is an arithmetic number, because the mean of its divisors is an integer number (333990860).

Almost surely, 2^28229747616 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 28229747616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48094683840).

28229747616 is an abundant number, since it is smaller than the sum of its proper divisors (67959620064).

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

28229747616 is a wasteful number, since it uses less digits than its factorization.

28229747616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2172 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 28229747616 in words is "twenty-eight billion, two hundred twenty-nine million, seven hundred forty-seven thousand, six hundred sixteen".