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28820664 = 23332943107
BaseRepresentation
bin110110111110…
…0010010111000
32000020020112000
41231330102320
524334230124
62505421000
7466654155
oct155742270
960206460
1028820664
11152a5434
12979a760
135c81262
143b8322c
1527e46c9
hex1b7c4b8

28820664 has 128 divisors (see below), whose sum is σ = 85536000. Its totient is φ = 8975232.

The previous prime is 28820651. The next prime is 28820683. The reversal of 28820664 is 46602882.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269299 + ... + 269405.

It is an arithmetic number, because the mean of its divisors is an integer number (668250).

Almost surely, 228820664 is an apocalyptic number.

28820664 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 28820664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42768000).

28820664 is an abundant number, since it is smaller than the sum of its proper divisors (56715336).

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

28820664 is a wasteful number, since it uses less digits than its factorization.

28820664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 28820664 is about 5368.4880553094. The cubic root of 28820664 is about 306.5970657001.

The spelling of 28820664 in words is "twenty-eight million, eight hundred twenty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 43 54 58 72 86 87 107 108 116 129 172 174 214 216 232 258 261 321 344 348 387 428 516 522 642 696 774 783 856 963 1032 1044 1161 1247 1284 1548 1566 1926 2088 2322 2494 2568 2889 3096 3103 3132 3741 3852 4601 4644 4988 5778 6206 6264 7482 7704 9202 9288 9309 9976 11223 11556 12412 13803 14964 18404 18618 22446 23112 24824 27606 27927 29928 33669 36808 37236 41409 44892 55212 55854 67338 74472 82818 83781 89784 110424 111708 124227 133429 134676 165636 167562 223416 248454 266858 269352 331272 335124 400287 496908 533716 670248 800574 993816 1067432 1200861 1601148 2401722 3202296 3602583 4803444 7205166 9606888 14410332 28820664