28833168 has 240 divisors, whose sum is σ = 99743616. Its totient is φ = 7096320.

The previous prime is 28833151. The next prime is 28833197. The reversal of 28833168 is 86133882.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 703228 + ... + 703268.

Almost surely, 2^28833168 is an apocalyptic number.

28833168 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 28833168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49871808).

28833168 is an abundant number, since it is smaller than the sum of its proper divisors (70910448).

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

28833168 is a wasteful number, since it uses less digits than its factorization.

28833168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 89 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 28833168 is about 5369.6525027231. The cubic root of 28833168 is about 306.6413988843.

The spelling of 28833168 in words is "twenty-eight million, eight hundred thirty-three thousand, one hundred sixty-eight".