28274799168 has 896 divisors, whose sum is σ = 109131079680. Its totient is φ = 6967296000.

The previous prime is 28274799149. The next prime is 28274799221. The reversal of 28274799168 is 86199747282.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

Its product of digits (24385536) is a multiple of the sum of its prime factors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 387325980 + ... + 387326052.

It is an arithmetic number, because the mean of its divisors is an integer number (121798080).

Almost surely, 2^28274799168 is an apocalyptic number.

28274799168 is a gapful number since it is divisible by the number (28) 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 28274799168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54565539840).

28274799168 is an abundant number, since it is smaller than the sum of its proper divisors (80856280512).

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

28274799168 is a wasteful number, since it uses less digits than its factorization.

28274799168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 28274799168 in words is "twenty-eight billion, two hundred seventy-four million, seven hundred ninety-nine thousand, one hundred sixty-eight".