28611760 has 80 divisors (see below), whose sum is σ = 69995520. Its totient is φ = 10863360.

The previous prime is 28611749. The next prime is 28611763. The reversal of 28611760 is 6711682.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (28611763) 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 15 ways as a sum of consecutive naturals, for example, 205771 + ... + 205909.

It is an arithmetic number, because the mean of its divisors is an integer number (874944).

Almost surely, 2^28611760 is an apocalyptic number.

28611760 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 28611760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34997760).

28611760 is an abundant number, since it is smaller than the sum of its proper divisors (41383760).

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

28611760 is a wasteful number, since it uses less digits than its factorization.

28611760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 28611760 is about 5348.9961675066. The cubic root of 28611760 is about 305.8544881799.

The spelling of 28611760 in words is "twenty-eight million, six hundred eleven thousand, seven hundred sixty".