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28422810 = 232513171429
BaseRepresentation
bin110110001101…
…1001010011010
31222111000202200
41230123022122
524234012220
62453111030
7463406223
oct154331232
958430680
1028422810
1115053529
129628476
135b72140
143abc24a
152766890
hex1b1b29a

28422810 has 96 divisors (see below), whose sum is σ = 84324240. Its totient is φ = 6580224.

The previous prime is 28422763. The next prime is 28422811. The reversal of 28422810 is 1822482.

It can be written as a sum of positive squares in 8 ways, for example, as 4422609 + 24000201 = 2103^2 + 4899^2 .

It is a super-2 number, since 2×284228102 = 1615712256592200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28422811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19176 + ... + 20604.

Almost surely, 228422810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28422810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42162120).

28422810 is an abundant number, since it is smaller than the sum of its proper divisors (55901430).

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

28422810 is a wasteful number, since it uses less digits than its factorization.

28422810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 28422810 is about 5331.3047183593. The cubic root of 28422810 is about 305.1797202912.

The spelling of 28422810 in words is "twenty-eight million, four hundred twenty-two thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 306 390 442 510 585 663 765 1105 1170 1326 1429 1530 1989 2210 2858 3315 3978 4287 6630 7145 8574 9945 12861 14290 18577 19890 21435 24293 25722 37154 42870 48586 55731 64305 72879 92885 111462 121465 128610 145758 167193 185770 218637 242930 278655 315809 334386 364395 437274 557310 631618 728790 835965 947427 1093185 1579045 1671930 1894854 2186370 2842281 3158090 4737135 5684562 9474270 14211405 28422810