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28368736 = 251183971
BaseRepresentation
bin110110000110…
…1111101100000
31222101021120221
41230031331200
524230244421
62452012424
7463062454
oct154157540
958337527
1028368736
1115016940
129601114
135b53646
143aa6664
152755841
hex1b0df60

28368736 has 48 divisors (see below), whose sum is σ = 61725888. Its totient is φ = 12726400.

The previous prime is 28368731. The next prime is 28368787. The reversal of 28368736 is 63786382.

It is a junction number, because it is equal to n+sod(n) for n = 28368692 and 28368701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28368731) 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 7 ways as a sum of consecutive naturals, for example, 28731 + ... + 29701.

It is an arithmetic number, because the mean of its divisors is an integer number (1285956).

Almost surely, 228368736 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 28368736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30862944).

28368736 is an abundant number, since it is smaller than the sum of its proper divisors (33357152).

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

28368736 is a wasteful number, since it uses less digits than its factorization.

28368736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1067 counting only the distinct ones).

The product of its digits is 290304, while the sum is 43.

The square root of 28368736 is about 5326.2309375392. The cubic root of 28368736 is about 304.9860640412.

The spelling of 28368736 in words is "twenty-eight million, three hundred sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 83 88 166 176 332 352 664 913 971 1328 1826 1942 2656 3652 3884 7304 7768 10681 14608 15536 21362 29216 31072 42724 80593 85448 161186 170896 322372 341792 644744 886523 1289488 1773046 2578976 3546092 7092184 14184368 28368736