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28379120 = 24571117271
BaseRepresentation
bin110110001000…
…0011111110000
31222101210211112
41230100133300
524231112440
62452132452
7463134650
oct154203760
958353745
1028379120
1115023720
129607128
135b582a3
143aaa360
152758965
hex1b107f0

28379120 has 160 divisors (see below), whose sum is σ = 87422976. Its totient is φ = 8294400.

The previous prime is 28379089. The next prime is 28379161. The reversal of 28379120 is 2197382.

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, 104585 + ... + 104855.

Almost surely, 228379120 is an apocalyptic number.

28379120 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 28379120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43711488).

28379120 is an abundant number, since it is smaller than the sum of its proper divisors (59043856).

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

28379120 is a wasteful number, since it uses less digits than its factorization.

28379120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 28379120 is about 5327.2056464905. The cubic root of 28379120 is about 305.0232715380.

The spelling of 28379120 in words is "twenty-eight million, three hundred seventy-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 17 20 22 28 34 35 40 44 55 56 68 70 77 80 85 88 110 112 119 136 140 154 170 176 187 220 238 271 272 280 308 340 374 385 440 476 542 560 595 616 680 748 770 880 935 952 1084 1190 1232 1309 1355 1360 1496 1540 1870 1897 1904 2168 2380 2618 2710 2981 2992 3080 3740 3794 4336 4607 4760 5236 5420 5962 6160 6545 7480 7588 9214 9485 9520 10472 10840 11924 13090 14905 14960 15176 18428 18970 20867 20944 21680 23035 23848 26180 29810 30352 32249 36856 37940 41734 46070 47696 50677 52360 59620 64498 73712 75880 83468 92140 101354 104335 104720 119240 128996 151760 161245 166936 184280 202708 208670 238480 253385 257992 322490 333872 354739 368560 405416 417340 506770 515984 644980 709478 810832 834680 1013540 1289960 1418956 1669360 1773695 2027080 2579920 2837912 3547390 4054160 5675824 7094780 14189560 28379120