28712960 has 56 divisors (see below), whose sum is σ = 69005196. Its totient is φ = 11468800.

The previous prime is 28712953. The next prime is 28712963. The reversal of 28712960 is 6921782.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28217344 + 495616 = 5312^2 + 704^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 28712960.

It is not an unprimeable number, because it can be changed into a prime (28712963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40610 + ... + 41310.

Almost surely, 2^28712960 is an apocalyptic number.

28712960 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 28712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34502598).

28712960 is an abundant number, since it is smaller than the sum of its proper divisors (40292236).

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

28712960 is an frugal number, since it uses more digits than its factorization.

28712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 28712960 is about 5358.4475363672. The cubic root of 28712960 is about 306.2146670329.

The spelling of 28712960 in words is "twenty-eight million, seven hundred twelve thousand, nine hundred sixty".