28652580 has 144 divisors (see below), whose sum is σ = 98280000. Its totient is φ = 6693120.

The previous prime is 28652579. The next prime is 28652581. The reversal of 28652580 is 8525682.

28652580 is a `hidden beast` number, since 28 + 6 + 52 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (28652579) and next prime (28652581).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28652581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57171 + ... + 57669.

It is an arithmetic number, because the mean of its divisors is an integer number (682500).

Almost surely, 2^28652580 is an apocalyptic number.

28652580 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 28652580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49140000).

28652580 is an abundant number, since it is smaller than the sum of its proper divisors (69627420).

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

28652580 is a wasteful number, since it uses less digits than its factorization.

28652580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 28652580 is about 5352.8104767496. The cubic root of 28652580 is about 305.9998718441. Note that the first 3 decimals are identical.

Adding to 28652580 its sum of digits (36), we get a cube (28652616 = 306³).

It can be divided in two parts, 2865 and 2580, that added together give a palindrome (5445).

The spelling of 28652580 in words is "twenty-eight million, six hundred fifty-two thousand, five hundred eighty".