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28628340 = 223513172127
BaseRepresentation
bin110110100110…
…1010101110100
31222212110200220
41231031111310
524312101330
62501334340
7465223356
oct155152564
958773626
1028628340
1115183994
1297073b0
135c14860
143b330d6
1527a7710
hex1b4d574

28628340 has 144 divisors (see below), whose sum is σ = 92424192. Its totient is φ = 6580224.

The previous prime is 28628297. The next prime is 28628359. The reversal of 28628340 is 4382682.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225357 + ... + 225483.

Almost surely, 228628340 is an apocalyptic number.

28628340 is a gapful number since it is divisible by the number (20) 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 28628340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46212096).

28628340 is an abundant number, since it is smaller than the sum of its proper divisors (63795852).

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

28628340 is a wasteful number, since it uses less digits than its factorization.

28628340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 28628340 is about 5350.5457665550. The cubic root of 28628340 is about 305.9135558290.

The spelling of 28628340 in words is "twenty-eight million, six hundred twenty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 127 130 156 170 195 204 221 254 255 260 289 340 381 390 442 508 510 578 635 663 762 780 867 884 1020 1105 1156 1270 1326 1445 1524 1651 1734 1905 2159 2210 2540 2652 2890 3302 3315 3468 3757 3810 4318 4335 4420 4953 5780 6477 6604 6630 7514 7620 8255 8636 8670 9906 10795 11271 12954 13260 15028 16510 17340 18785 19812 21590 22542 24765 25908 28067 32385 33020 36703 37570 43180 45084 49530 56134 56355 64770 73406 75140 84201 99060 110109 112268 112710 129540 140335 146812 168402 183515 220218 225420 280670 336804 367030 421005 440436 477139 550545 561340 734060 842010 954278 1101090 1431417 1684020 1908556 2202180 2385695 2862834 4771390 5725668 7157085 9542780 14314170 28628340