28533168 has 60 divisors (see below), whose sum is σ = 82220680. Its totient is φ = 9474048.

The previous prime is 28533121. The next prime is 28533173. The reversal of 28533168 is 86133582.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×28533168² = 1628283352232448, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110896 + ... + 111152.

Almost surely, 2^28533168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28533168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41110340).

28533168 is an abundant number, since it is smaller than the sum of its proper divisors (53687512).

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

28533168 is an equidigital number, since it uses as much as digits as its factorization.

28533168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 262 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 28533168 is about 5341.6446905424. The cubic root of 28533168 is about 305.5741866668.

The spelling of 28533168 in words is "twenty-eight million, five hundred thirty-three thousand, one hundred sixty-eight".