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28405740 = 223511193223
BaseRepresentation
bin110110001011…
…0111111101100
31222110011100110
41230112333230
524232440430
62452500020
7463305366
oct154267754
958404313
1028405740
1115041720
12961a610
135b6743c
143ab5d36
1527617b0
hex1b16fec

28405740 has 96 divisors (see below), whose sum is σ = 87607296. Its totient is φ = 6819840.

The previous prime is 28405739. The next prime is 28405781. The reversal of 28405740 is 4750482.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 28405698 and 28405707.

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, 127269 + ... + 127491.

It is an arithmetic number, because the mean of its divisors is an integer number (912576).

Almost surely, 228405740 is an apocalyptic number.

28405740 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 28405740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43803648).

28405740 is an abundant number, since it is smaller than the sum of its proper divisors (59201556).

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

28405740 is a wasteful number, since it uses less digits than its factorization.

28405740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 28405740 is about 5329.7035564842. The cubic root of 28405740 is about 305.1186137239.

The spelling of 28405740 in words is "twenty-eight million, four hundred five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 193 220 223 330 386 446 579 660 669 772 892 965 1115 1158 1338 1930 2123 2230 2316 2453 2676 2895 3345 3860 4246 4460 4906 5790 6369 6690 7359 8492 9812 10615 11580 12265 12738 13380 14718 21230 24530 25476 29436 31845 36795 42460 43039 49060 63690 73590 86078 127380 129117 147180 172156 215195 258234 430390 473429 516468 645585 860780 946858 1291170 1420287 1893716 2367145 2582340 2840574 4734290 5681148 7101435 9468580 14202870 28405740