28661360 has 160 divisors (see below), whose sum is σ = 85327872. Its totient is φ = 8709120.

The previous prime is 28661357. The next prime is 28661363. The reversal of 28661360 is 6316682.

28661360 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (28661357) and next prime (28661363).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28661363) 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 31 ways as a sum of consecutive naturals, for example, 225617 + ... + 225743.

Almost surely, 2^28661360 is an apocalyptic number.

28661360 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 28661360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42663936).

28661360 is an abundant number, since it is smaller than the sum of its proper divisors (56666512).

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

28661360 is a wasteful number, since it uses less digits than its factorization.

28661360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 28661360 is about 5353.6305438459. The cubic root of 28661360 is about 306.0311244631.

The spelling of 28661360 in words is "twenty-eight million, six hundred sixty-one thousand, three hundred sixty".