28800180 has 36 divisors (see below), whose sum is σ = 87361092. Its totient is φ = 7680000.

The previous prime is 28800137. The next prime is 28800199. The reversal of 28800180 is 8100882.

It can be written as a sum of positive squares in 2 ways, for example, as 22982436 + 5817744 = 4794^2 + 2412^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

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, 79821 + ... + 80180.

It is an arithmetic number, because the mean of its divisors is an integer number (2426697).

Almost surely, 2^28800180 is an apocalyptic number.

28800180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28800180 is an abundant number, since it is smaller than the sum of its proper divisors (58560912).

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

28800180 is a wasteful number, since it uses less digits than its factorization.

28800180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160016 (or 160011 counting only the distinct ones).

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

The square root of 28800180 is about 5366.5799164831. The cubic root of 28800180 is about 306.5244115473.

The spelling of 28800180 in words is "twenty-eight million, eight hundred thousand, one hundred eighty".