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28418940 = 223251131463
BaseRepresentation
bin110110001101…
…0001101111100
31222110211110100
41230122031330
524233401230
62453041100
7463362024
oct154321574
958424410
1028418940
1115050630
129626190
135b70454
143abaa84
152765660
hex1b1a37c

28418940 has 144 divisors (see below), whose sum is σ = 97284096. Its totient is φ = 6652800.

The previous prime is 28418939. The next prime is 28418959. The reversal of 28418940 is 4981482.

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 = 28418895 and 28418904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61149 + ... + 61611.

It is an arithmetic number, because the mean of its divisors is an integer number (675584).

Almost surely, 228418940 is an apocalyptic number.

28418940 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 28418940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48642048).

28418940 is an abundant number, since it is smaller than the sum of its proper divisors (68865156).

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

28418940 is a wasteful number, since it uses less digits than its factorization.

28418940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 28418940 is about 5330.9417554500. The cubic root of 28418940 is about 305.1658687505.

It can be divided in two parts, 2841 and 8940, that added together give a triangular number (11781 = T153).

The spelling of 28418940 in words is "twenty-eight million, four hundred eighteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 31 33 36 44 45 55 60 62 66 90 93 99 110 124 132 155 165 180 186 198 220 279 310 330 341 372 396 463 465 495 558 620 660 682 926 930 990 1023 1116 1364 1389 1395 1705 1852 1860 1980 2046 2315 2778 2790 3069 3410 4092 4167 4630 5093 5115 5556 5580 6138 6820 6945 8334 9260 10186 10230 12276 13890 14353 15279 15345 16668 20372 20460 20835 25465 27780 28706 30558 30690 41670 43059 45837 50930 57412 61116 61380 71765 76395 83340 86118 91674 101860 129177 143530 152790 157883 172236 183348 215295 229185 258354 287060 305580 315766 430590 458370 473649 516708 631532 645885 789415 861180 916740 947298 1291770 1420947 1578830 1894596 2368245 2583540 2841894 3157660 4736490 5683788 7104735 9472980 14209470 28418940