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28881680 = 2452959211
BaseRepresentation
bin110111000101…
…1001100010000
32000100100012212
41232023030100
524343203210
62511011252
7500330102
oct156131420
960310185
1028881680
1115337263
129809b28
135ca2c69
143b9b572
152807805
hex1b8b310

28881680 has 80 divisors (see below), whose sum is σ = 70977600. Its totient is φ = 10913280.

The previous prime is 28881679. The next prime is 28881703. The reversal of 28881680 is 8618882.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136775 + ... + 136985.

It is an arithmetic number, because the mean of its divisors is an integer number (887220).

Almost surely, 228881680 is an apocalyptic number.

28881680 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 28881680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35488800).

28881680 is an abundant number, since it is smaller than the sum of its proper divisors (42095920).

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

28881680 is a wasteful number, since it uses less digits than its factorization.

28881680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 41.

The square root of 28881680 is about 5374.1678425594. The cubic root of 28881680 is about 306.8132779330.

The spelling of 28881680 in words is "twenty-eight million, eight hundred eighty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 59 80 116 118 145 211 232 236 290 295 422 464 472 580 590 844 944 1055 1160 1180 1688 1711 2110 2320 2360 3376 3422 4220 4720 6119 6844 8440 8555 12238 12449 13688 16880 17110 24476 24898 27376 30595 34220 48952 49796 61190 62245 68440 97904 99592 122380 124490 136880 199184 244760 248980 361021 489520 497960 722042 995920 1444084 1805105 2888168 3610210 5776336 7220420 14440840 28881680