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28757040 = 2435132709
BaseRepresentation
bin110110110110…
…0110000110000
32000010000020120
41231230300300
524330211130
62504210240
7466300524
oct155546060
960100216
1028757040
1115261654
129769980
135c5b300
143b67d84
1527d0910
hex1b6cc30

28757040 has 120 divisors (see below), whose sum is σ = 96667920. Its totient is φ = 7068672.

The previous prime is 28757039. The next prime is 28757063. The reversal of 28757040 is 4075782.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 28756992 and 28757010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40206 + ... + 40914.

It is an arithmetic number, because the mean of its divisors is an integer number (805566).

Almost surely, 228757040 is an apocalyptic number.

28757040 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 28757040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48333960).

28757040 is an abundant number, since it is smaller than the sum of its proper divisors (67910880).

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

28757040 is a wasteful number, since it uses less digits than its factorization.

28757040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 28757040 is about 5362.5590905835. The cubic root of 28757040 is about 306.3712866812.

The spelling of 28757040 in words is "twenty-eight million, seven hundred fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 169 195 208 240 260 312 338 390 507 520 624 676 709 780 845 1014 1040 1352 1418 1560 1690 2028 2127 2535 2704 2836 3120 3380 3545 4056 4254 5070 5672 6760 7090 8112 8508 9217 10140 10635 11344 13520 14180 17016 18434 20280 21270 27651 28360 34032 36868 40560 42540 46085 55302 56720 73736 85080 92170 110604 119821 138255 147472 170160 184340 221208 239642 276510 359463 368680 442416 479284 553020 599105 718926 737360 958568 1106040 1198210 1437852 1797315 1917136 2212080 2396420 2875704 3594630 4792840 5751408 7189260 9585680 14378520 28757040