28517760 has 96 divisors (see below), whose sum is σ = 98495280. Its totient is φ = 7603200.

The previous prime is 28517707. The next prime is 28517777. The reversal of 28517760 is 6771582.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (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, 3285 + ... + 8235.

Almost surely, 2^28517760 is an apocalyptic number.

28517760 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 28517760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49247640).

28517760 is an abundant number, since it is smaller than the sum of its proper divisors (69977520).

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

28517760 is a wasteful number, since it uses less digits than its factorization.

28517760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4976 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 28517760 is about 5340.2022433612. The cubic root of 28517760 is about 305.5191730908.

The spelling of 28517760 in words is "twenty-eight million, five hundred seventeen thousand, seven hundred sixty".