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5628348 = 22321161233
BaseRepresentation
bin10101011110000110111100
3101120221122100
4111132012330
52420101343
6320345100
765561115
oct25360674
911527570
105628348
1131a4730
121a75190
131220aab
14a6720c
157629d3
hex55e1bc

5628348 has 72 divisors (see below), whose sum is σ = 15842736. Its totient is φ = 1670400.

The previous prime is 5628341. The next prime is 5628361. The reversal of 5628348 is 8438265.

5628348 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5628341) 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 23 ways as a sum of consecutive naturals, for example, 24040 + ... + 24272.

It is an arithmetic number, because the mean of its divisors is an integer number (220038).

Almost surely, 25628348 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 5628348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7921368).

5628348 is an abundant number, since it is smaller than the sum of its proper divisors (10214388).

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

5628348 is a wasteful number, since it uses less digits than its factorization.

5628348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 310 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 5628348 is about 2372.4139605052. The cubic root of 5628348 is about 177.8799426080.

The spelling of 5628348 in words is "five million, six hundred twenty-eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 61 66 99 122 132 183 198 233 244 366 396 466 549 671 699 732 932 1098 1342 1398 2013 2097 2196 2563 2684 2796 4026 4194 5126 6039 7689 8052 8388 10252 12078 14213 15378 23067 24156 28426 30756 42639 46134 56852 85278 92268 127917 156343 170556 255834 312686 469029 511668 625372 938058 1407087 1876116 2814174 5628348