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28134744 = 23311197179
BaseRepresentation
bin110101101010…
…0110101011000
31221221101121120
41223110311120
524200302434
62443005240
7461066331
oct153246530
957841546
1028134744
1114977060
129509820
135aa0ca1
143a45288
15270b349
hex1ad4d58

28134744 has 128 divisors (see below), whose sum is σ = 82944000. Its totient is φ = 7862400.

The previous prime is 28134737. The next prime is 28134751. The reversal of 28134744 is 44743182.

It is an interprime number because it is at equal distance from previous prime (28134737) and next prime (28134751).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 356097 + ... + 356175.

It is an arithmetic number, because the mean of its divisors is an integer number (648000).

Almost surely, 228134744 is an apocalyptic number.

28134744 is a gapful number since it is divisible by the number (24) 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 28134744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41472000).

28134744 is an abundant number, since it is smaller than the sum of its proper divisors (54809256).

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

28134744 is a wasteful number, since it uses less digits than its factorization.

28134744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 28134744 is about 5304.2194524737. The cubic root of 28134744 is about 304.1452157096.

It can be divided in two parts, 2813 and 4744, that added together give a palindrome (7557).

The spelling of 28134744 in words is "twenty-eight million, one hundred thirty-four thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 71 76 79 88 114 132 142 152 158 209 213 228 237 264 284 316 418 426 456 474 568 627 632 781 836 852 869 948 1254 1349 1501 1562 1672 1704 1738 1896 2343 2508 2607 2698 3002 3124 3476 4047 4503 4686 5016 5214 5396 5609 6004 6248 6952 8094 9006 9372 10428 10792 11218 12008 14839 16188 16511 16827 18012 18744 20856 22436 29678 32376 33022 33654 36024 44517 44872 49533 59356 61699 66044 67308 89034 99066 106571 118712 123398 132088 134616 178068 185097 198132 213142 246796 319713 356136 370194 396264 426284 493592 639426 740388 852568 1172281 1278852 1480776 2344562 2557704 3516843 4689124 7033686 9378248 14067372 28134744