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28883664 = 2432792539
BaseRepresentation
bin110111000101…
…1101011010000
32000100102221100
41232023223100
524343234124
62511024400
7500335635
oct156135320
960312840
1028883664
11153387a7
12980b100
135ca3b34
143b9c18c
1528081c9
hex1b8bad0

28883664 has 60 divisors (see below), whose sum is σ = 81889600. Its totient is φ = 9502272.

The previous prime is 28883611. The next prime is 28883671. The reversal of 28883664 is 46638882.

It is a happy number.

28883664 is a `hidden beast` number, since 288 + 8 + 366 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10107 + ... + 12645.

Almost surely, 228883664 is an apocalyptic number.

28883664 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 28883664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40944800).

28883664 is an abundant number, since it is smaller than the sum of its proper divisors (53005936).

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

28883664 is a wasteful number, since it uses less digits than its factorization.

28883664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 2623 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 28883664 is about 5374.3524261068. The cubic root of 28883664 is about 306.8203031892.

The spelling of 28883664 in words is "twenty-eight million, eight hundred eighty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 948 1264 1422 1896 2539 2844 3792 5078 5688 7617 10156 11376 15234 20312 22851 30468 40624 45702 60936 91404 121872 182808 200581 365616 401162 601743 802324 1203486 1604648 1805229 2406972 3209296 3610458 4813944 7220916 9627888 14441832 28883664