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28668544 = 27972309
BaseRepresentation
bin110110101011…
…1001010000000
31222221111211221
41231113022000
524314343134
62502244424
7465451522
oct155271200
958844757
1028668544
1115201113
129726714
135c29c48
143b43a12
1527b45b4
hex1b57280

28668544 has 32 divisors (see below), whose sum is σ = 57726900. Its totient is φ = 14180352.

The previous prime is 28668539. The next prime is 28668551. The reversal of 28668544 is 44586682.

It can be written as a sum of positive squares in 2 ways, for example, as 27962944 + 705600 = 5288^2 + 840^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 28668544.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 11262 + ... + 13570.

Almost surely, 228668544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28668544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28863450).

28668544 is an abundant number, since it is smaller than the sum of its proper divisors (29058356).

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

28668544 is an equidigital number, since it uses as much as digits as its factorization.

28668544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2408 counting only the distinct ones).

The product of its digits is 368640, while the sum is 43.

The square root of 28668544 is about 5354.3014483684. The cubic root of 28668544 is about 306.0566913347.

The spelling of 28668544 in words is "twenty-eight million, six hundred sixty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 1552 2309 3104 4618 6208 9236 12416 18472 36944 73888 147776 223973 295552 447946 895892 1791784 3583568 7167136 14334272 28668544