28168320 has 128 divisors (see below), whose sum is σ = 95178240. Its totient is φ = 7061504.

The previous prime is 28168313. The next prime is 28168331. The reversal of 28168320 is 2386182.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 32209 + ... + 33071.

It is an arithmetic number, because the mean of its divisors is an integer number (743580).

Almost surely, 2^28168320 is an apocalyptic number.

28168320 is a gapful number since it is divisible by the number (20) 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 28168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47589120).

28168320 is an abundant number, since it is smaller than the sum of its proper divisors (67009920).

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

28168320 is a wasteful number, since it uses less digits than its factorization.

28168320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 28168320 is about 5307.3835361692. The cubic root of 28168320 is about 304.2661565663.

The spelling of 28168320 in words is "twenty-eight million, one hundred sixty-eight thousand, three hundred twenty".