28281960 has 320 divisors, whose sum is σ = 114998400. Its totient is φ = 6096384.

The previous prime is 28281907. The next prime is 28281971. The reversal of 28281960 is 6918282.

It is a super-2 number, since 2×28281960² = 1599738522883200, which contains 22 as substring.

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

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 79 ways as a sum of consecutive naturals, for example, 657699 + ... + 657741.

It is an arithmetic number, because the mean of its divisors is an integer number (359370).

Almost surely, 2^28281960 is an apocalyptic number.

28281960 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 28281960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57499200).

28281960 is an abundant number, since it is smaller than the sum of its proper divisors (86716440).

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

28281960 is a wasteful number, since it uses less digits than its factorization.

28281960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 28281960 is about 5318.0786003970. The cubic root of 28281960 is about 304.6747765101.

It can be divided in two parts, 28281 and 960, that added together give a square (29241 = 171²).

The spelling of 28281960 in words is "twenty-eight million, two hundred eighty-one thousand, nine hundred sixty".