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28714368 = 273374347
BaseRepresentation
bin110110110001…
…0010110000000
32000000211201010
41231202112000
524322324433
62503240520
7466032234
oct155422600
960024633
1028714368
1115232591
129749140
135c44a67
143b565c4
1527c2e63
hex1b62580

28714368 has 128 divisors (see below), whose sum is σ = 81861120. Its totient is φ = 8902656.

The previous prime is 28714363. The next prime is 28714397. The reversal of 28714368 is 86341782.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×287143683 (a number of 23 digits) contains 333 as substring.

Its product of digits (64512) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28714363) 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, 610921 + ... + 610967.

It is an arithmetic number, because the mean of its divisors is an integer number (639540).

Almost surely, 228714368 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 28714368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40930560).

28714368 is an abundant number, since it is smaller than the sum of its proper divisors (53146752).

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

28714368 is a wasteful number, since it uses less digits than its factorization.

28714368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 28714368 is about 5358.5789160933. The cubic root of 28714368 is about 306.2196722432.

The spelling of 28714368 in words is "twenty-eight million, seven hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 43 47 48 64 74 86 94 96 111 128 129 141 148 172 188 192 222 258 282 296 344 376 384 444 516 564 592 688 752 888 1032 1128 1184 1376 1504 1591 1739 1776 2021 2064 2256 2368 2752 3008 3182 3478 3552 4042 4128 4512 4736 4773 5217 5504 6016 6063 6364 6956 7104 8084 8256 9024 9546 10434 12126 12728 13912 14208 16168 16512 18048 19092 20868 24252 25456 27824 32336 38184 41736 48504 50912 55648 64672 74777 76368 83472 97008 101824 111296 129344 149554 152736 166944 194016 203648 222592 224331 258688 299108 305472 333888 388032 448662 598216 610944 667776 776064 897324 1196432 1794648 2392864 3589296 4785728 7178592 9571456 14357184 28714368