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28334320 = 2457192663
BaseRepresentation
bin110110000010…
…1100011110000
31222022112101021
41230011203300
524223144240
62451145224
7462560230
oct154054360
958275337
1028334320
1114aa2aa3
1295a5214
135b40a91
143a97cc0
15274a54a
hex1b058f0

28334320 has 80 divisors (see below), whose sum is σ = 79280640. Its totient is φ = 9199872.

The previous prime is 28334311. The next prime is 28334333. The reversal of 28334320 is 2343382.

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

It is a congruent number.

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, 9309 + ... + 11971.

It is an arithmetic number, because the mean of its divisors is an integer number (991008).

Almost surely, 228334320 is an apocalyptic number.

28334320 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 28334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39640320).

28334320 is an abundant number, since it is smaller than the sum of its proper divisors (50946320).

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

28334320 is a wasteful number, since it uses less digits than its factorization.

28334320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 28334320 is about 5322.9991546120. Note that the first 3 decimals coincide. The cubic root of 28334320 is about 304.8626811751.

The spelling of 28334320 in words is "twenty-eight million, three hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 2663 5320 5326 10640 10652 13315 18641 21304 26630 37282 42608 50597 53260 74564 93205 101194 106520 149128 186410 202388 213040 252985 298256 354179 372820 404776 505970 708358 745640 809552 1011940 1416716 1491280 1770895 2023880 2833432 3541790 4047760 5666864 7083580 14167160 28334320