28959168 has 112 divisors (see below), whose sum is σ = 90708480. Its totient is φ = 7977984.

The previous prime is 28959149. The next prime is 28959179. The reversal of 28959168 is 86195982.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×28959168² = 1677266822504448, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38605 + ... + 39347.

Almost surely, 2^28959168 is an apocalyptic number.

28959168 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 28959168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45354240).

28959168 is an abundant number, since it is smaller than the sum of its proper divisors (61749312).

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

28959168 is a wasteful number, since it uses less digits than its factorization.

28959168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 784 counting only the distinct ones).

The product of its digits is 311040, while the sum is 48.

The square root of 28959168 is about 5381.3723156831. The cubic root of 28959168 is about 307.0874207708.

The spelling of 28959168 in words is "twenty-eight million, nine hundred fifty-nine thousand, one hundred sixty-eight".