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28233408 = 263723001
BaseRepresentation
bin110101110110…
…0111011000000
31222010101221210
41223230323000
524211432113
62445050120
7461660100
oct153547300
958111853
1028233408
1114a341a5
129556940
135b06b78
143a6d200
15272a6c3
hex1aecec0

28233408 has 84 divisors (see below), whose sum is σ = 86925912. Its totient is φ = 8064000.

The previous prime is 28233353. The next prime is 28233409. The reversal of 28233408 is 80433282.

It is a tau number, because it is divible by the number of its divisors (84).

It is not an unprimeable number, because it can be changed into a prime (28233409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7908 + ... + 10908.

Almost surely, 228233408 is an apocalyptic number.

28233408 is a gapful number since it is divisible by the number (28) 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 28233408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43462956).

28233408 is an abundant number, since it is smaller than the sum of its proper divisors (58692504).

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

28233408 is a wasteful number, since it uses less digits than its factorization.

28233408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 28233408 is about 5313.5118330535. The cubic root of 28233408 is about 304.5003302943.

The spelling of 28233408 in words is "twenty-eight million, two hundred thirty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3001 3136 4704 6002 9003 9408 12004 18006 21007 24008 36012 42014 48016 63021 72024 84028 96032 126042 144048 147049 168056 192064 252084 288096 294098 336112 441147 504168 576192 588196 672224 882294 1008336 1176392 1344448 1764588 2016672 2352784 3529176 4033344 4705568 7058352 9411136 14116704 28233408