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28748544 = 283114183
BaseRepresentation
bin110110110101…
…0101100000000
32000002120120220
41231222230000
524324423134
62504103040
7466233666
oct155525400
960076526
1028748544
1115256230
129764a80
135c57496
143b64c36
1527cd149
hex1b6ab00

28748544 has 144 divisors (see below), whose sum is σ = 86534784. Its totient is φ = 8396800.

The previous prime is 28748543. The next prime is 28748579. The reversal of 28748544 is 44584782.

Its product of digits (286720) is a multiple of the sum of its prime divisors (140).

It is a junction number, because it is equal to n+sod(n) for n = 28748496 and 28748505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28748543) 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 15 ways as a sum of consecutive naturals, for example, 346327 + ... + 346409.

It is an arithmetic number, because the mean of its divisors is an integer number (600936).

Almost surely, 228748544 is an apocalyptic number.

28748544 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 28748544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43267392).

28748544 is an abundant number, since it is smaller than the sum of its proper divisors (57786240).

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

28748544 is a wasteful number, since it uses less digits than its factorization.

28748544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 140 counting only the distinct ones).

The product of its digits is 286720, while the sum is 42.

The square root of 28748544 is about 5361.7668729627. The cubic root of 28748544 is about 306.3411121937.

It can be divided in two parts, 28748 and 544, that added together give a palindrome (29292).

The spelling of 28748544 in words is "twenty-eight million, seven hundred forty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 64 66 82 83 88 96 123 128 132 164 166 176 192 246 249 256 264 328 332 352 384 451 492 498 528 656 664 704 768 902 913 984 996 1056 1312 1328 1353 1408 1804 1826 1968 1992 2112 2624 2656 2706 2739 2816 3403 3608 3652 3936 3984 4224 5248 5312 5412 5478 6806 7216 7304 7872 7968 8448 10209 10496 10624 10824 10956 13612 14432 14608 15744 15936 20418 21248 21648 21912 27224 28864 29216 31488 31872 37433 40836 43296 43824 54448 57728 58432 63744 74866 81672 86592 87648 108896 112299 115456 116864 149732 163344 173184 175296 217792 224598 233728 299464 326688 346368 350592 435584 449196 598928 653376 701184 871168 898392 1197856 1306752 1796784 2395712 2613504 3593568 4791424 7187136 9582848 14374272 28748544