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28286440 = 23571319409
BaseRepresentation
bin110101111100…
…1110111101000
31222020002200221
41223321313220
524220131230
62450135424
7462300520
oct153716750
958202627
1028286440
1114a70026
129581574
135b25050
143a84680
15273b27a
hex1af9de8

28286440 has 128 divisors (see below), whose sum is σ = 82656000. Its totient is φ = 8460288.

The previous prime is 28286431. The next prime is 28286441. The reversal of 28286440 is 4468282.

It is a junction number, because it is equal to n+sod(n) for n = 28286396 and 28286405.

It is not an unprimeable number, because it can be changed into a prime (28286441) 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, 68956 + ... + 69364.

It is an arithmetic number, because the mean of its divisors is an integer number (645750).

Almost surely, 228286440 is an apocalyptic number.

28286440 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 28286440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41328000).

28286440 is an abundant number, since it is smaller than the sum of its proper divisors (54369560).

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

28286440 is a wasteful number, since it uses less digits than its factorization.

28286440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 28286440 is about 5318.4997884742. The cubic root of 28286440 is about 304.6908629828.

The spelling of 28286440 in words is "twenty-eight million, two hundred eighty-six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 19 20 26 28 35 38 40 52 56 65 70 76 91 95 104 130 133 140 152 182 190 247 260 266 280 364 380 409 455 494 520 532 665 728 760 818 910 988 1064 1235 1330 1636 1729 1820 1976 2045 2470 2660 2863 3272 3458 3640 4090 4940 5317 5320 5726 6916 7771 8180 8645 9880 10634 11452 13832 14315 15542 16360 17290 21268 22904 26585 28630 31084 34580 37219 38855 42536 53170 54397 57260 62168 69160 74438 77710 101023 106340 108794 114520 148876 155420 186095 202046 212680 217588 271985 297752 310840 372190 404092 435176 505115 543970 707161 744380 808184 1010230 1087940 1414322 1488760 2020460 2175880 2828644 3535805 4040920 5657288 7071610 14143220 28286440