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28591104 = 210341227
BaseRepresentation
bin110110100010…
…0010000000000
31222210120121210
41231010100000
524304403404
62500450120
7465006663
oct155042000
958716553
1028591104
1115158a13
1296a9940
135c00919
143b236da
15279b689
hex1b44400

28591104 has 88 divisors (see below), whose sum is σ = 78408288. Its totient is φ = 9256960.

The previous prime is 28591103. The next prime is 28591151. The reversal of 28591104 is 40119582.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28591103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125839 + ... + 126065.

Almost surely, 228591104 is an apocalyptic number.

28591104 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 28591104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39204144).

28591104 is an abundant number, since it is smaller than the sum of its proper divisors (49817184).

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

28591104 is a wasteful number, since it uses less digits than its factorization.

28591104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 28591104 is about 5347.0649893189. The cubic root of 28591104 is about 305.7808675048.

The spelling of 28591104 in words is "twenty-eight million, five hundred ninety-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 227 246 256 328 384 454 492 512 656 681 768 908 984 1024 1312 1362 1536 1816 1968 2624 2724 3072 3632 3936 5248 5448 7264 7872 9307 10496 10896 14528 15744 18614 20992 21792 27921 29056 31488 37228 41984 43584 55842 58112 62976 74456 87168 111684 116224 125952 148912 174336 223368 232448 297824 348672 446736 595648 697344 893472 1191296 1786944 2382592 3573888 4765184 7147776 9530368 14295552 28591104