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28944480 = 2535471283
BaseRepresentation
bin110111001101…
…0100001100000
32000110112100210
41232122201200
524402210410
62512214120
7501011145
oct156324140
960415323
1028944480
111537a464
12983a340
135cc5716
143bb63cc
15281b220
hex1b9a860

28944480 has 96 divisors (see below), whose sum is σ = 93187584. Its totient is φ = 7548416.

The previous prime is 28944473. The next prime is 28944481. The reversal of 28944480 is 8444982.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28944481) 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, 21919 + ... + 23201.

It is an arithmetic number, because the mean of its divisors is an integer number (970704).

Almost surely, 228944480 is an apocalyptic number.

28944480 is a gapful number since it is divisible by the number (20) 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 28944480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46593792).

28944480 is an abundant number, since it is smaller than the sum of its proper divisors (64243104).

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

28944480 is a wasteful number, since it uses less digits than its factorization.

28944480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 28944480 is about 5380.0074349391. The cubic root of 28944480 is about 307.0354940624.

The spelling of 28944480 in words is "twenty-eight million, nine hundred forty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 80 94 96 120 141 160 188 235 240 282 376 470 480 564 705 752 940 1128 1283 1410 1504 1880 2256 2566 2820 3760 3849 4512 5132 5640 6415 7520 7698 10264 11280 12830 15396 19245 20528 22560 25660 30792 38490 41056 51320 60301 61584 76980 102640 120602 123168 153960 180903 205280 241204 301505 307920 361806 482408 603010 615840 723612 904515 964816 1206020 1447224 1809030 1929632 2412040 2894448 3618060 4824080 5788896 7236120 9648160 14472240 28944480