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28306848 = 253714153
BaseRepresentation
bin110101111111…
…0110110100000
31222021010200210
41223332312200
524221304343
62450414120
7462414153
oct153766640
958233623
1028306848
1114a84399
129591340
135b3141b
143a8bc9a
152742333
hex1afeda0

28306848 has 48 divisors (see below), whose sum is σ = 75370176. Its totient is φ = 9300480.

The previous prime is 28306847. The next prime is 28306849. The reversal of 28306848 is 84860382.

It is an interprime number because it is at equal distance from previous prime (28306847) and next prime (28306849).

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

It is a super-3 number, since 3×283068483 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28306841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4740 + ... + 8892.

It is an arithmetic number, because the mean of its divisors is an integer number (1570212).

Almost surely, 228306848 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 28306848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37685088).

28306848 is an abundant number, since it is smaller than the sum of its proper divisors (47063328).

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

28306848 is a wasteful number, since it uses less digits than its factorization.

28306848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4237 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 28306848 is about 5320.4180286891. The cubic root of 28306848 is about 304.7641211272.

The spelling of 28306848 in words is "twenty-eight million, three hundred six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 4153 6816 8306 12459 16612 24918 33224 49836 66448 99672 132896 199344 294863 398688 589726 884589 1179452 1769178 2358904 3538356 4717808 7076712 9435616 14153424 28306848