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28749648 = 243311392
BaseRepresentation
bin110110110101…
…0111101010000
32000002122002210
41231222331100
524324442043
62504112120
7466240134
oct155527520
960078083
1028749648
1115257044
129765640
135c57b35
143b653c4
1527cd633
hex1b6af50

28749648 has 60 divisors (see below), whose sum is σ = 77221248. Its totient is φ = 9207360.

The previous prime is 28749619. The next prime is 28749649. The reversal of 28749648 is 84694782.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 28749597 and 28749606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28749649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206763 + ... + 206901.

Almost surely, 228749648 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 28749648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38610624).

28749648 is an abundant number, since it is smaller than the sum of its proper divisors (48471600).

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

28749648 is a wasteful number, since it uses less digits than its factorization.

28749648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 175 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 28749648 is about 5361.8698231121. The cubic root of 28749648 is about 306.3450335083.

The spelling of 28749648 in words is "twenty-eight million, seven hundred forty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 139 186 248 278 372 417 496 556 744 834 1112 1488 1668 2224 3336 4309 6672 8618 12927 17236 19321 25854 34472 38642 51708 57963 68944 77284 103416 115926 154568 206832 231852 309136 463704 598951 927408 1197902 1796853 2395804 3593706 4791608 7187412 9583216 14374824 28749648