28083360 has 96 divisors (see below), whose sum is σ = 90683712. Its totient is φ = 7301120.

The previous prime is 28083329. The next prime is 28083361. The reversal of 28083360 is 6338082.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (28083361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18967 + ... + 20393.

It is an arithmetic number, because the mean of its divisors is an integer number (944622).

Almost surely, 2^28083360 is an apocalyptic number.

28083360 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 28083360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45341856).

28083360 is an abundant number, since it is smaller than the sum of its proper divisors (62600352).

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

28083360 is a wasteful number, since it uses less digits than its factorization.

28083360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 28083360 is about 5299.3735478828. The cubic root of 28083360 is about 303.9599439375.

The spelling of 28083360 in words is "twenty-eight million, eighty-three thousand, three hundred sixty".