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28185984 = 273243569
BaseRepresentation
bin110101110000…
…1010110000000
31222000222220100
41223201112000
524203422414
62444042400
7461401611
oct153412600
958028810
1028185984
1114a01602
129533400
135abb3c8
143a59c08
15271b609
hex1ae1580

28185984 has 96 divisors (see below), whose sum is σ = 83140200. Its totient is φ = 9160704.

The previous prime is 28185959. The next prime is 28186009. The reversal of 28185984 is 48958182.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28185959) and next prime (28186009).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49252 + ... + 49820.

Almost surely, 228185984 is an apocalyptic number.

28185984 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 28185984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41570100).

28185984 is an abundant number, since it is smaller than the sum of its proper divisors (54954216).

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

28185984 is a wasteful number, since it uses less digits than its factorization.

28185984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 617 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 28185984 is about 5309.0473721752. The cubic root of 28185984 is about 304.3297437728.

The spelling of 28185984 in words is "twenty-eight million, one hundred eighty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 258 288 344 384 387 516 569 576 688 774 1032 1138 1152 1376 1548 1707 2064 2276 2752 3096 3414 4128 4552 5121 5504 6192 6828 8256 9104 10242 12384 13656 16512 18208 20484 24467 24768 27312 36416 40968 48934 49536 54624 72832 73401 81936 97868 109248 146802 163872 195736 218496 220203 293604 327744 391472 440406 587208 655488 782944 880812 1174416 1565888 1761624 2348832 3131776 3523248 4697664 7046496 9395328 14092992 28185984