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28947744 = 2532783173
BaseRepresentation
bin110111001101…
…1010100100000
32000110200211200
41232123110200
524402311434
62512241200
7501023520
oct156332440
960420750
1028947744
1115381961
129840200
135cc7057
143bb7680
15281c199
hex1b9b520

28947744 has 144 divisors (see below), whose sum is σ = 95764032. Its totient is φ = 8123904.

The previous prime is 28947739. The next prime is 28947791. The reversal of 28947744 is 44774982.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 28947744.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167242 + ... + 167414.

It is an arithmetic number, because the mean of its divisors is an integer number (665028).

Almost surely, 228947744 is an apocalyptic number.

28947744 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 28947744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47882016).

28947744 is an abundant number, since it is smaller than the sum of its proper divisors (66816288).

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

28947744 is a wasteful number, since it uses less digits than its factorization.

28947744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 268 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 28947744 is about 5380.3107716934. The cubic root of 28947744 is about 307.0470348488.

The spelling of 28947744 in words is "twenty-eight million, nine hundred forty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 83 84 96 112 126 144 166 168 173 224 249 252 288 332 336 346 498 504 519 581 664 672 692 747 996 1008 1038 1162 1211 1328 1384 1494 1557 1743 1992 2016 2076 2324 2422 2656 2768 2988 3114 3486 3633 3984 4152 4648 4844 5229 5536 5976 6228 6972 7266 7968 8304 9296 9688 10458 10899 11952 12456 13944 14359 14532 16608 18592 19376 20916 21798 23904 24912 27888 28718 29064 38752 41832 43077 43596 49824 55776 57436 58128 83664 86154 87192 100513 114872 116256 129231 167328 172308 174384 201026 229744 258462 301539 344616 348768 402052 459488 516924 603078 689232 804104 904617 1033848 1206156 1378464 1608208 1809234 2067696 2412312 3216416 3618468 4135392 4824624 7236936 9649248 14473872 28947744