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28834272 = 2533231451
BaseRepresentation
bin110110111111…
…1100111100000
32000020221012000
41231333213200
524340144042
62510004000
7500041635
oct155774740
960227160
1028834272
1115304685
1297a6600
135c874cc
143b8818c
1527e874c
hex1b7f9e0

28834272 has 96 divisors (see below), whose sum is σ = 87816960. Its totient is φ = 9187200.

The previous prime is 28834271. The next prime is 28834277. The reversal of 28834272 is 27243882.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28834271) 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, 19147 + ... + 20597.

It is an arithmetic number, because the mean of its divisors is an integer number (914760).

Almost surely, 228834272 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 28834272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43908480).

28834272 is an abundant number, since it is smaller than the sum of its proper divisors (58982688).

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

28834272 is a wasteful number, since it uses less digits than its factorization.

28834272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1479 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 28834272 is about 5369.7553016874. The cubic root of 28834272 is about 306.6453125227.

The spelling of 28834272 in words is "twenty-eight million, eight hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1242 1451 1656 2208 2484 2902 3312 4353 4968 5804 6624 8706 9936 11608 13059 17412 19872 23216 26118 33373 34824 39177 46432 52236 66746 69648 78354 100119 104472 133492 139296 156708 200238 208944 266984 300357 313416 400476 417888 533968 600714 626832 800952 901071 1067936 1201428 1253664 1601904 1802142 2402856 3203808 3604284 4805712 7208568 9611424 14417136 28834272