Search a number
-
+
28975440 = 24351337251
BaseRepresentation
bin110111010001…
…0000101010000
32000112002211110
41232202011100
524404203230
62513013320
7501200334
oct156420520
960462743
1028975440
11153a074a
129854240
136006840
143bc37c4
1528254b0
hex1ba2150

28975440 has 160 divisors (see below), whose sum is σ = 99743616. Its totient is φ = 6912000.

The previous prime is 28975439. The next prime is 28975459. The reversal of 28975440 is 4457982.

It is a super-2 number, since 2×289754402 = 1679152246387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 115315 + ... + 115565.

Almost surely, 228975440 is an apocalyptic number.

28975440 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 28975440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49871808).

28975440 is an abundant number, since it is smaller than the sum of its proper divisors (70768176).

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

28975440 is a wasteful number, since it uses less digits than its factorization.

28975440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 28975440 is about 5382.8839853744. The cubic root of 28975440 is about 307.1449269221.

The spelling of 28975440 in words is "twenty-eight million, nine hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 37 39 40 48 52 60 65 74 78 80 104 111 120 130 148 156 185 195 208 222 240 251 260 296 312 370 390 444 481 502 520 555 592 624 740 753 780 888 962 1004 1040 1110 1255 1443 1480 1506 1560 1776 1924 2008 2220 2405 2510 2886 2960 3012 3120 3263 3765 3848 4016 4440 4810 5020 5772 6024 6526 7215 7530 7696 8880 9287 9620 9789 10040 11544 12048 13052 14430 15060 16315 18574 19240 19578 20080 23088 26104 27861 28860 30120 32630 37148 38480 39156 46435 48945 52208 55722 57720 60240 65260 74296 78312 92870 97890 111444 115440 120731 130520 139305 148592 156624 185740 195780 222888 241462 261040 278610 362193 371480 391560 445776 482924 557220 603655 724386 742960 783120 965848 1114440 1207310 1448772 1810965 1931696 2228880 2414620 2897544 3621930 4829240 5795088 7243860 9658480 14487720 28975440