28168633344 has 176 divisors, whose sum is σ = 81004015008. Its totient is φ = 8669626368.

The previous prime is 28168633303. The next prime is 28168633349. The reversal of 28168633344 is 44333686182.

It is a super-3 number, since 3×28168633344³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 28168633293 and 28168633302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28168633349) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2762784 + ... + 2772960.

Almost surely, 2^28168633344 is an apocalyptic number.

28168633344 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 28168633344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40502007504).

28168633344 is an abundant number, since it is smaller than the sum of its proper divisors (52835381664).

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

28168633344 is a wasteful number, since it uses less digits than its factorization.

28168633344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10270 (or 10252 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 48.

The spelling of 28168633344 in words is "twenty-eight billion, one hundred sixty-eight million, six hundred thirty-three thousand, three hundred forty-four".