28293760 has 64 divisors (see below), whose sum is σ = 73807200. Its totient is φ = 10286080.

The previous prime is 28293757. The next prime is 28293761. The reversal of 28293760 is 6739282.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (28293761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5031 + ... + 9049.

Almost surely, 2^28293760 is an apocalyptic number.

28293760 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 28293760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36903600).

28293760 is an abundant number, since it is smaller than the sum of its proper divisors (45513440).

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

28293760 is a wasteful number, since it uses less digits than its factorization.

28293760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 28293760 is about 5319.1879079423. The cubic root of 28293760 is about 304.7171434757.

The spelling of 28293760 in words is "twenty-eight million, two hundred ninety-three thousand, seven hundred sixty".