28580760 has 192 divisors, whose sum is σ = 103783680. Its totient is φ = 6773760.

The previous prime is 28580753. The next prime is 28580771. The reversal of 28580760 is 6708582.

28580760 is a `hidden beast` number, since 2 + 8 + 580 + 76 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 144982 + ... + 145178.

It is an arithmetic number, because the mean of its divisors is an integer number (540540).

Almost surely, 2^28580760 is an apocalyptic number.

28580760 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 28580760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51891840).

28580760 is an abundant number, since it is smaller than the sum of its proper divisors (75202920).

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

28580760 is a wasteful number, since it uses less digits than its factorization.

28580760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 28580760 is about 5346.0976422059. The cubic root of 28580760 is about 305.7439868161.

The spelling of 28580760 in words is "twenty-eight million, five hundred eighty thousand, seven hundred sixty".