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28073268 = 223267103113
BaseRepresentation
bin110101100010…
…1110100110100
31221211021021200
41223011310310
524141321033
62441412500
7460422156
oct153056464
957737250
1028073268
1114934953
12949a130
135a7c002
143a2aad6
1526e8013
hex1ac5d34

28073268 has 72 divisors (see below), whose sum is σ = 73364928. Its totient is φ = 9047808.

The previous prime is 28073267. The next prime is 28073293. The reversal of 28073268 is 86237082.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28073263) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 248380 + ... + 248492.

Almost surely, 228073268 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 28073268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36682464).

28073268 is an abundant number, since it is smaller than the sum of its proper divisors (45291660).

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

28073268 is a wasteful number, since it uses less digits than its factorization.

28073268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 28073268 is about 5298.4212743043. The cubic root of 28073268 is about 303.9235293574.

The spelling of 28073268 in words is "twenty-eight million, seventy-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 67 103 113 134 201 206 226 268 309 339 402 412 452 603 618 678 804 927 1017 1206 1236 1356 1854 2034 2412 3708 4068 6901 7571 11639 13802 15142 20703 22713 23278 27604 30284 34917 41406 45426 46556 62109 68139 69834 82812 90852 104751 124218 136278 139668 209502 248436 272556 419004 779813 1559626 2339439 3119252 4678878 7018317 9357756 14036634 28073268