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28831440 = 24351167163
BaseRepresentation
bin110110111111…
…0111011010000
32000020210022010
41231332323100
524340101230
62505542520
7500030451
oct155767320
960223263
1028831440
1115302540
1297a4a40
135c86131
143b87128
1527e79b0
hex1b7eed0

28831440 has 160 divisors (see below), whose sum is σ = 99565056. Its totient is φ = 6842880.

The previous prime is 28831433. The next prime is 28831469. The reversal of 28831440 is 4413882.

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 = 28831398 and 28831407.

It is a congruent number.

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, 176799 + ... + 176961.

Almost surely, 228831440 is an apocalyptic number.

28831440 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 28831440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49782528).

28831440 is an abundant number, since it is smaller than the sum of its proper divisors (70733616).

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

28831440 is a wasteful number, since it uses less digits than its factorization.

28831440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 28831440 is about 5369.4915960452. The cubic root of 28831440 is about 306.6352729888.

The spelling of 28831440 in words is "twenty-eight million, eight hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 67 80 88 110 120 132 134 163 165 176 201 220 240 264 268 326 330 335 402 440 489 528 536 652 660 670 737 804 815 880 978 1005 1072 1304 1320 1340 1474 1608 1630 1793 1956 2010 2211 2445 2608 2640 2680 2948 3216 3260 3586 3685 3912 4020 4422 4890 5360 5379 5896 6520 7172 7370 7824 8040 8844 8965 9780 10758 10921 11055 11792 13040 14344 14740 16080 17688 17930 19560 21516 21842 22110 26895 28688 29480 32763 35376 35860 39120 43032 43684 44220 53790 54605 58960 65526 71720 86064 87368 88440 107580 109210 120131 131052 143440 163815 174736 176880 215160 218420 240262 262104 327630 360393 430320 436840 480524 524208 600655 655260 720786 873680 961048 1201310 1310520 1441572 1801965 1922096 2402620 2621040 2883144 3603930 4805240 5766288 7207860 9610480 14415720 28831440