28008180 has 168 divisors, whose sum is σ = 94199112. Its totient is φ = 6967296.

The previous prime is 28008173. The next prime is 28008187. The reversal of 28008180 is 8180082.

It is an interprime number because it is at equal distance from previous prime (28008173) and next prime (28008187).

It can be written as a sum of positive squares in 4 ways, for example, as 571536 + 27436644 = 756^2 + 5238^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28008187) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 247804 + ... + 247916.

It is an arithmetic number, because the mean of its divisors is an integer number (560709).

Almost surely, 2^28008180 is an apocalyptic number.

28008180 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 28008180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47099556).

28008180 is an abundant number, since it is smaller than the sum of its proper divisors (66190932).

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

28008180 is a wasteful number, since it uses less digits than its factorization.

28008180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 28008180 is about 5292.2755030327. The cubic root of 28008180 is about 303.6884649010.

The spelling of 28008180 in words is "twenty-eight million, eight thousand, one hundred eighty".