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28048160 = 255779317
BaseRepresentation
bin110101011111…
…1101100100000
31221202222211202
41222333230200
524140020120
62441100332
7460256030
oct152775440
957688752
1028048160
1114917aa8
1294876a8
135a7075a
143a218c0
1526e0875
hex1abfb20

28048160 has 96 divisors (see below), whose sum is σ = 76930560. Its totient is φ = 9464832.

The previous prime is 28048129. The next prime is 28048217. The reversal of 28048160 is 6184082.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88322 + ... + 88638.

It is an arithmetic number, because the mean of its divisors is an integer number (801360).

Almost surely, 228048160 is an apocalyptic number.

28048160 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 28048160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38465280).

28048160 is an abundant number, since it is smaller than the sum of its proper divisors (48882400).

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

28048160 is a wasteful number, since it uses less digits than its factorization.

28048160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 28048160 is about 5296.0513592676. The cubic root of 28048160 is about 303.8328952345.

The spelling of 28048160 in words is "twenty-eight million, forty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 79 80 112 140 158 160 224 280 316 317 395 553 560 632 634 790 1106 1120 1264 1268 1580 1585 2212 2219 2528 2536 2765 3160 3170 4424 4438 5072 5530 6320 6340 8848 8876 10144 11060 11095 12640 12680 17696 17752 22120 22190 25043 25360 35504 44240 44380 50086 50720 71008 88480 88760 100172 125215 175301 177520 200344 250430 350602 355040 400688 500860 701204 801376 876505 1001720 1402408 1753010 2003440 2804816 3506020 4006880 5609632 7012040 14024080 28048160