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14428728 = 2332238713
BaseRepresentation
bin110111000010…
…101000111000
31000011001111100
4313002220320
512143204403
61233131400
7233433156
oct67025070
930131440
1014428728
118165576
1249b9b60
132cb2612
141cb83d6
1514002a3
hexdc2a38

14428728 has 48 divisors (see below), whose sum is σ = 40781520. Its totient is φ = 4599936.

The previous prime is 14428727. The next prime is 14428753. The reversal of 14428728 is 82782441.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 14428692 and 14428701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14428721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2701 + ... + 6012.

It is an arithmetic number, because the mean of its divisors is an integer number (849615).

Almost surely, 214428728 is an apocalyptic number.

14428728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14428728 is an abundant number, since it is smaller than the sum of its proper divisors (26352792).

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

14428728 is a wasteful number, since it uses less digits than its factorization.

14428728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8748 (or 8741 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 14428728 is about 3798.5165525505. The cubic root of 14428728 is about 243.4497589270.

The spelling of 14428728 in words is "fourteen million, four hundred twenty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 8713 17426 26139 34852 52278 69704 78417 104556 156834 200399 209112 313668 400798 601197 627336 801596 1202394 1603192 1803591 2404788 3607182 4809576 7214364 14428728