28114560 has 128 divisors (see below), whose sum is σ = 99633600. Its totient is φ = 7492608.

The previous prime is 28114553. The next prime is 28114589. The reversal of 28114560 is 6541182.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16467 + ... + 18093.

Almost surely, 2^28114560 is an apocalyptic number.

28114560 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 28114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49816800).

28114560 is an abundant number, since it is smaller than the sum of its proper divisors (71519040).

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

28114560 is a wasteful number, since it uses less digits than its factorization.

28114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 28114560 is about 5302.3164749004. The cubic root of 28114560 is about 304.0724665655.

It can be divided in two parts, 281 and 14560, that added together give a palindrome (14841).

The spelling of 28114560 in words is "twenty-eight million, one hundred fourteen thousand, five hundred sixty".