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28992240 = 2432567601
BaseRepresentation
bin110111010011…
…0001011110000
32000112221212200
41232212023300
524410222430
62513223200
7501300324
oct156461360
960487780
1028992240
1115402332
129861b00
136011394
143bc9984
15282a460
hex1ba62f0

28992240 has 120 divisors (see below), whose sum is σ = 98983248. Its totient is φ = 7603200.

The previous prime is 28992239. The next prime is 28992241. The reversal of 28992240 is 4229982.

It is an interprime number because it is at equal distance from previous prime (28992239) and next prime (28992241).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28992195 and 28992204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28992241) 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 23 ways as a sum of consecutive naturals, for example, 47940 + ... + 48540.

Almost surely, 228992240 is an apocalyptic number.

28992240 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 28992240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49491624).

28992240 is an abundant number, since it is smaller than the sum of its proper divisors (69991008).

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

28992240 is a wasteful number, since it uses less digits than its factorization.

28992240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 28992240 is about 5384.4442610171. Note that the first 3 decimals coincide. The cubic root of 28992240 is about 307.2042764704.

It can be divided in two parts, 289 and 92240, that added together give a palindrome (92529).

The spelling of 28992240 in words is "twenty-eight million, nine hundred ninety-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 67 72 80 90 120 134 144 180 201 240 268 335 360 402 536 601 603 670 720 804 1005 1072 1202 1206 1340 1608 1803 2010 2404 2412 2680 3005 3015 3216 3606 4020 4808 4824 5360 5409 6010 6030 7212 8040 9015 9616 9648 10818 12020 12060 14424 16080 18030 21636 24040 24120 27045 28848 36060 40267 43272 48080 48240 54090 72120 80534 86544 108180 120801 144240 161068 201335 216360 241602 322136 362403 402670 432720 483204 604005 644272 724806 805340 966408 1208010 1449612 1610680 1812015 1932816 2416020 2899224 3221360 3624030 4832040 5798448 7248060 9664080 14496120 28992240