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28322840 = 23571331251
BaseRepresentation
bin110110000001…
…0110000011000
31222021221122002
41230002300120
524222312330
62451020132
7462511610
oct154026030
958257562
1028322840
1114a95407
12959a648
135b387a0
143a93a40
152746e45
hex1b02c18

28322840 has 128 divisors (see below), whose sum is σ = 81285120. Its totient is φ = 8640000.

The previous prime is 28322839. The next prime is 28322851. The reversal of 28322840 is 4822382.

28322840 = T344 + T345 + ... + T594.

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, 112715 + ... + 112965.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 228322840 is an apocalyptic number.

28322840 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 28322840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40642560).

28322840 is an abundant number, since it is smaller than the sum of its proper divisors (52962280).

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

28322840 is a wasteful number, since it uses less digits than its factorization.

28322840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 28322840 is about 5321.9207059106. The cubic root of 28322840 is about 304.8215026520.

The spelling of 28322840 in words is "twenty-eight million, three hundred twenty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 31 35 40 52 56 62 65 70 91 104 124 130 140 155 182 217 248 251 260 280 310 364 403 434 455 502 520 620 728 806 868 910 1004 1085 1240 1255 1612 1736 1757 1820 2008 2015 2170 2510 2821 3224 3263 3514 3640 4030 4340 5020 5642 6526 7028 7781 8060 8680 8785 10040 11284 13052 14056 14105 15562 16120 16315 17570 22568 22841 26104 28210 31124 32630 35140 38905 45682 54467 56420 62248 65260 70280 77810 91364 101153 108934 112840 114205 130520 155620 182728 202306 217868 228410 272335 311240 404612 435736 456820 505765 544670 708071 809224 913640 1011530 1089340 1416142 2023060 2178680 2832284 3540355 4046120 5664568 7080710 14161420 28322840