Search a number
-
+
28985440 = 2551143383
BaseRepresentation
bin110111010010…
…0100001100000
32000112121112211
41232210201200
524410013230
62513131504
7501241441
oct156444140
960477484
1028985440
11153a8210
129859b94
13600b263
143bc72c8
15282842a
hex1ba4860

28985440 has 96 divisors (see below), whose sum is σ = 76640256. Its totient is φ = 10268160.

The previous prime is 28985399. The next prime is 28985441. The reversal of 28985440 is 4458982.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 28985393 and 28985402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28985441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75489 + ... + 75871.

It is an arithmetic number, because the mean of its divisors is an integer number (798336).

Almost surely, 228985440 is an apocalyptic number.

28985440 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 28985440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38320128).

28985440 is an abundant number, since it is smaller than the sum of its proper divisors (47654816).

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

28985440 is a wasteful number, since it uses less digits than its factorization.

28985440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 28985440 is about 5383.8127753480. The cubic root of 28985440 is about 307.1802567968.

It can be divided in two parts, 2898 and 5440, that added together give a palindrome (8338).

The spelling of 28985440 in words is "twenty-eight million, nine hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 80 86 88 110 160 172 176 215 220 344 352 383 430 440 473 688 766 860 880 946 1376 1532 1720 1760 1892 1915 2365 3064 3440 3784 3830 4213 4730 6128 6880 7568 7660 8426 9460 12256 15136 15320 16469 16852 18920 21065 30640 32938 33704 37840 42130 61280 65876 67408 75680 82345 84260 131752 134816 164690 168520 181159 263504 329380 337040 362318 527008 658760 674080 724636 905795 1317520 1449272 1811590 2635040 2898544 3623180 5797088 7246360 14492720 28985440