28623168 has 168 divisors, whose sum is σ = 97210880. Its totient is φ = 7879680.

The previous prime is 28623167. The next prime is 28623181. The reversal of 28623168 is 86132682.

28623168 is a `hidden beast` number, since 28 + 623 + 1 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28623167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124878 + ... + 125106.

Almost surely, 2^28623168 is an apocalyptic number.

28623168 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 28623168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48605440).

28623168 is an abundant number, since it is smaller than the sum of its proper divisors (68587712).

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

28623168 is a wasteful number, since it uses less digits than its factorization.

28623168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 272 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 28623168 is about 5350.0624295423. The cubic root of 28623168 is about 305.8951325906.

The spelling of 28623168 in words is "twenty-eight million, six hundred twenty-three thousand, one hundred sixty-eight".