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28357680 = 24351361149
BaseRepresentation
bin110110000101…
…1010000110000
31222100201102110
41230023100300
524224421210
62451445320
7463015311
oct154132060
958321373
1028357680
11150095aa
1295b6840
135b4b5c0
143aa2608
152752420
hex1b0b430

28357680 has 160 divisors (see below), whose sum is σ = 96868800. Its totient is φ = 6819840.

The previous prime is 28357673. The next prime is 28357687. The reversal of 28357680 is 8675382.

It is an interprime number because it is at equal distance from previous prime (28357673) and next prime (28357687).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28357687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190246 + ... + 190394.

It is an arithmetic number, because the mean of its divisors is an integer number (605430).

Almost surely, 228357680 is an apocalyptic number.

28357680 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 28357680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48434400).

28357680 is an abundant number, since it is smaller than the sum of its proper divisors (68511120).

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

28357680 is a wasteful number, since it uses less digits than its factorization.

28357680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 28357680 is about 5325.1929542506. The cubic root of 28357680 is about 304.9464386820.

The spelling of 28357680 in words is "twenty-eight million, three hundred fifty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 61 65 78 80 104 120 122 130 149 156 183 195 208 240 244 260 298 305 312 366 390 447 488 520 596 610 624 732 745 780 793 894 915 976 1040 1192 1220 1464 1490 1560 1586 1788 1830 1937 2235 2379 2384 2440 2928 2980 3120 3172 3576 3660 3874 3965 4470 4758 4880 5811 5960 6344 7152 7320 7748 7930 8940 9089 9516 9685 11622 11895 11920 12688 14640 15496 15860 17880 18178 19032 19370 23244 23790 27267 29055 30992 31720 35760 36356 38064 38740 45445 46488 47580 54534 58110 63440 72712 77480 90890 92976 95160 109068 116220 118157 136335 145424 154960 181780 190320 218136 232440 236314 272670 354471 363560 436272 464880 472628 545340 590785 708942 727120 945256 1090680 1181570 1417884 1772355 1890512 2181360 2363140 2835768 3544710 4726280 5671536 7089420 9452560 14178840 28357680