Search a number
-
+
28212720 = 24351923269
BaseRepresentation
bin110101110011…
…1110111110000
31222002100120120
41223213313300
524210301340
62444410240
7461542554
oct153476760
958070516
1028212720
1114a1a6a8
129546980
135aca623
143a65864
1527244d0
hex1ae7df0

28212720 has 160 divisors (see below), whose sum is σ = 96422400. Its totient is φ = 6792192.

The previous prime is 28212719. The next prime is 28212721. The reversal of 28212720 is 2721282.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28212719) and next prime (28212721).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28212721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104746 + ... + 105014.

It is an arithmetic number, because the mean of its divisors is an integer number (602640).

Almost surely, 228212720 is an apocalyptic number.

28212720 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 28212720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48211200).

28212720 is an abundant number, since it is smaller than the sum of its proper divisors (68209680).

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

28212720 is a wasteful number, since it uses less digits than its factorization.

28212720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 28212720 is about 5311.5647412039. The cubic root of 28212720 is about 304.4259380222.

The spelling of 28212720 in words is "twenty-eight million, two hundred twelve thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 23 24 30 38 40 46 48 57 60 69 76 80 92 95 114 115 120 138 152 184 190 228 230 240 269 276 285 304 345 368 380 437 456 460 538 552 570 690 760 807 874 912 920 1076 1104 1140 1311 1345 1380 1520 1614 1748 1840 2152 2185 2280 2622 2690 2760 3228 3496 4035 4304 4370 4560 5111 5244 5380 5520 6187 6456 6555 6992 8070 8740 10222 10488 10760 12374 12912 13110 15333 16140 17480 18561 20444 20976 21520 24748 25555 26220 30666 30935 32280 34960 37122 40888 49496 51110 52440 61332 61870 64560 74244 76665 81776 92805 98992 102220 104880 117553 122664 123740 148488 153330 185610 204440 235106 245328 247480 296976 306660 352659 371220 408880 470212 494960 587765 613320 705318 742440 940424 1175530 1226640 1410636 1484880 1763295 1880848 2351060 2821272 3526590 4702120 5642544 7053180 9404240 14106360 28212720