28800720 has 240 divisors, whose sum is σ = 110899152. Its totient is φ = 6635520.

The previous prime is 28800719. The next prime is 28800721. The reversal of 28800720 is 2700882.

It is an interprime number because it is at equal distance from previous prime (28800719) and next prime (28800721).

It can be written as a sum of positive squares in 8 ways, for example, as 5645376 + 23155344 = 2376^2 + 4812^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28800721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159030 + ... + 159210.

Almost surely, 2^28800720 is an apocalyptic number.

28800720 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 28800720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55449576).

28800720 is an abundant number, since it is smaller than the sum of its proper divisors (82098432).

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

28800720 is a wasteful number, since it uses less digits than its factorization.

28800720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 28800720 is about 5366.6302276196. The cubic root of 28800720 is about 306.5263273009.

The spelling of 28800720 in words is "twenty-eight million, eight hundred thousand, seven hundred twenty".