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28320288 = 2531571879
BaseRepresentation
bin110110000001…
…0001000100000
31222021211010120
41230002020200
524222222123
62451000240
7462501303
oct154021040
958254116
1028320288
1114a934a7
129599080
135b37589
143a92b3a
1527462e3
hex1b02220

28320288 has 48 divisors (see below), whose sum is σ = 74854080. Its totient is φ = 9374976.

The previous prime is 28320263. The next prime is 28320307. The reversal of 28320288 is 88202382.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14133 + ... + 16011.

It is an arithmetic number, because the mean of its divisors is an integer number (1559460).

Almost surely, 228320288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28320288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37427040).

28320288 is an abundant number, since it is smaller than the sum of its proper divisors (46533792).

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

28320288 is a wasteful number, since it uses less digits than its factorization.

28320288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 28320288 is about 5321.6809374482. The cubic root of 28320288 is about 304.8123471690.

The spelling of 28320288 in words is "twenty-eight million, three hundred twenty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 314 471 628 942 1256 1879 1884 2512 3758 3768 5024 5637 7516 7536 11274 15032 15072 22548 30064 45096 60128 90192 180384 295003 590006 885009 1180012 1770018 2360024 3540036 4720048 7080072 9440096 14160144 28320288