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28288104 = 23313711277
BaseRepresentation
bin110101111101…
…0010001101000
31222020011222120
41223322101220
524220204404
62450151240
7462305415
oct153722150
958204876
1028288104
1114a712a9
129582520
135b25a30
143a8510c
15273b9d9
hex1afa468

28288104 has 64 divisors (see below), whose sum is σ = 77293440. Its totient is φ = 8574720.

The previous prime is 28288087. The next prime is 28288121. The reversal of 28288104 is 40188282.

It is an interprime number because it is at equal distance from previous prime (28288087) and next prime (28288121).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21514 + ... + 22790.

It is an arithmetic number, because the mean of its divisors is an integer number (1207710).

Almost surely, 228288104 is an apocalyptic number.

28288104 is a gapful number since it is divisible by the number (24) 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 28288104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38646720).

28288104 is an abundant number, since it is smaller than the sum of its proper divisors (49005336).

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

28288104 is a wasteful number, since it uses less digits than its factorization.

28288104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 28288104 is about 5318.6562212649. The cubic root of 28288104 is about 304.6968375258.

The spelling of 28288104 in words is "twenty-eight million, two hundred eighty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 71 78 104 142 156 213 284 312 426 568 852 923 1277 1704 1846 2554 2769 3692 3831 5108 5538 7384 7662 10216 11076 15324 16601 22152 30648 33202 49803 66404 90667 99606 132808 181334 199212 272001 362668 398424 544002 725336 1088004 1178671 2176008 2357342 3536013 4714684 7072026 9429368 14144052 28288104