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28349640 = 23325117159
BaseRepresentation
bin110110000100…
…1010011001000
31222100022101200
41230021103020
524224142030
62451344200
7462653004
oct154112310
958308350
1028349640
1115003560
1295b2060
135b47a47
143a9d704
15274ed60
hex1b094c8

28349640 has 96 divisors (see below), whose sum is σ = 100526400. Its totient is φ = 6871680.

The previous prime is 28349611. The next prime is 28349663. The reversal of 28349640 is 4694382.

It is a happy number.

28349640 is a `hidden beast` number, since 2 + 8 + 3 + 4 + 9 + 640 = 666.

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 = 28349595 and 28349604.

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, 381 + ... + 7539.

It is an arithmetic number, because the mean of its divisors is an integer number (1047150).

Almost surely, 228349640 is an apocalyptic number.

28349640 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 28349640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50263200).

28349640 is an abundant number, since it is smaller than the sum of its proper divisors (72176760).

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

28349640 is a wasteful number, since it uses less digits than its factorization.

28349640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7187 (or 7180 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 28349640 is about 5324.4379985121. The cubic root of 28349640 is about 304.9176163770.

The spelling of 28349640 in words is "twenty-eight million, three hundred forty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 7159 14318 21477 28636 35795 42954 57272 64431 71590 78749 85908 107385 128862 143180 157498 171816 214770 236247 257724 286360 314996 322155 393745 429540 472494 515448 629992 644310 708741 787490 859080 944988 1181235 1288620 1417482 1574980 1889976 2362470 2577240 2834964 3149960 3543705 4724940 5669928 7087410 9449880 14174820 28349640