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28283232 = 2531012917
BaseRepresentation
bin110101111100…
…1000101100000
31222012221022010
41223321011200
524220030412
62450112520
7462255255
oct153710540
958187263
1028283232
1114a6867a
12957b740
135b23753
143a8342c
15273a33c
hex1af9160

28283232 has 48 divisors (see below), whose sum is σ = 75004272. Its totient is φ = 9331200.

The previous prime is 28283231. The next prime is 28283263. The reversal of 28283232 is 23238282.

It is a tau number, because it is divible by the number of its divisors (48).

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 28283232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28283231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8238 + ... + 11154.

It is an arithmetic number, because the mean of its divisors is an integer number (1562589).

Almost surely, 228283232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28283232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37502136).

28283232 is an abundant number, since it is smaller than the sum of its proper divisors (46721040).

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

28283232 is a wasteful number, since it uses less digits than its factorization.

28283232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031 (or 3023 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 28283232 is about 5318.1981911170. The cubic root of 28283232 is about 304.6793440920.

It can be divided in two parts, 28283 and 232, that multiplied together give a palindrome (6561656).

The spelling of 28283232 in words is "twenty-eight million, two hundred eighty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 2917 3232 4848 5834 8751 9696 11668 17502 23336 35004 46672 70008 93344 140016 280032 294617 589234 883851 1178468 1767702 2356936 3535404 4713872 7070808 9427744 14141616 28283232