28865760 has 288 divisors, whose sum is σ = 115831296. Its totient is φ = 5913600.

The previous prime is 28865747. The next prime is 28865773. The reversal of 28865760 is 6756882.

It is an interprime number because it is at equal distance from previous prime (28865747) and next prime (28865773).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406525 + ... + 406595.

It is an arithmetic number, because the mean of its divisors is an integer number (402192).

Almost surely, 2^28865760 is an apocalyptic number.

28865760 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 28865760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57915648).

28865760 is an abundant number, since it is smaller than the sum of its proper divisors (86965536).

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

28865760 is a wasteful number, since it uses less digits than its factorization.

28865760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 28865760 is about 5372.6864788484. The cubic root of 28865760 is about 306.7568942655.

It can be divided in two parts, 2886 and 5760, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 28865760 in words is "twenty-eight million, eight hundred sixty-five thousand, seven hundred sixty".