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28387440 = 2432589443
BaseRepresentation
bin110110001001…
…0100001110000
31222102020020200
41230102201300
524231344230
62452235200
7463201134
oct154224160
958366220
1028387440
11150299a4
12960bb00
135b5c003
143aad3c4
15275b160
hex1b12870

28387440 has 120 divisors (see below), whose sum is σ = 96623280. Its totient is φ = 7468032.

The previous prime is 28387423. The next prime is 28387441. The reversal of 28387440 is 4478382.

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 = 28387395 and 28387404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28387441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63859 + ... + 64301.

It is an arithmetic number, because the mean of its divisors is an integer number (805194).

Almost surely, 228387440 is an apocalyptic number.

28387440 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 28387440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48311640).

28387440 is an abundant number, since it is smaller than the sum of its proper divisors (68235840).

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

28387440 is a wasteful number, since it uses less digits than its factorization.

28387440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 28387440 is about 5327.9864864693. The cubic root of 28387440 is about 305.0530768509.

The spelling of 28387440 in words is "twenty-eight million, three hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 89 90 120 144 178 180 240 267 356 360 443 445 534 712 720 801 886 890 1068 1329 1335 1424 1602 1772 1780 2136 2215 2658 2670 3204 3544 3560 3987 4005 4272 4430 5316 5340 6408 6645 7088 7120 7974 8010 8860 10632 10680 12816 13290 15948 16020 17720 19935 21264 21360 26580 31896 32040 35440 39427 39870 53160 63792 64080 78854 79740 106320 118281 157708 159480 197135 236562 315416 318960 354843 394270 473124 591405 630832 709686 788540 946248 1182810 1419372 1577080 1774215 1892496 2365620 2838744 3154160 3548430 4731240 5677488 7096860 9462480 14193720 28387440