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28688328 = 23321967313
BaseRepresentation
bin110110101101…
…1111111001000
31222222111222200
41231123333020
524321011303
62502520200
7465563304
oct155337710
958874880
1028688328
1115214a69
129736060
135c35c56
143b4ad04
1527ba3a3
hex1b5bfc8

28688328 has 96 divisors (see below), whose sum is σ = 83272800. Its totient is φ = 8895744.

The previous prime is 28688323. The next prime is 28688371. The reversal of 28688328 is 82388682.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (28688321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91500 + ... + 91812.

It is an arithmetic number, because the mean of its divisors is an integer number (867425).

Almost surely, 228688328 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 28688328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41636400).

28688328 is an abundant number, since it is smaller than the sum of its proper divisors (54584472).

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

28688328 is a wasteful number, since it uses less digits than its factorization.

28688328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 404 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 28688328 is about 5356.1486163100. The cubic root of 28688328 is about 306.1270778097.

The spelling of 28688328 in words is "twenty-eight million, six hundred eighty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 67 72 76 114 134 152 171 201 228 268 313 342 402 456 536 603 626 684 804 939 1206 1252 1273 1368 1608 1878 2412 2504 2546 2817 3756 3819 4824 5092 5634 5947 7512 7638 10184 11268 11457 11894 15276 17841 20971 22536 22914 23788 30552 35682 41942 45828 47576 53523 62913 71364 83884 91656 107046 125826 142728 167768 188739 214092 251652 377478 398449 428184 503304 754956 796898 1195347 1509912 1593796 2390694 3187592 3586041 4781388 7172082 9562776 14344164 28688328