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28846332 = 223219181233
BaseRepresentation
bin110111000001…
…0100011111100
32000021112201200
41232002203330
524341040312
62510135500
7500122044
oct156024374
960245650
1028846332
1115312749
1297b1590
135c8cb48
143b8c724
1527ec0dc
hex1b828fc

28846332 has 72 divisors (see below), whose sum is σ = 77510160. Its totient is φ = 9020160.

The previous prime is 28846327. The next prime is 28846333. The reversal of 28846332 is 23364882.

28846332 is a `hidden beast` number, since 288 + 46 + 332 = 666.

It is a super-2 number, since 2×288463322 = 1664221739708448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28846333) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 123688 + ... + 123920.

It is an arithmetic number, because the mean of its divisors is an integer number (1076530).

Almost surely, 228846332 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 28846332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38755080).

28846332 is an abundant number, since it is smaller than the sum of its proper divisors (48663828).

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

28846332 is a wasteful number, since it uses less digits than its factorization.

28846332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 438 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 28846332 is about 5370.8781404906. The cubic root of 28846332 is about 306.6880582641.

It can be divided in two parts, 2884 and 6332, that added together give a square (9216 = 962).

The spelling of 28846332 in words is "twenty-eight million, eight hundred forty-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 181 228 233 342 362 466 543 684 699 724 932 1086 1398 1629 2097 2172 2796 3258 3439 4194 4427 6516 6878 8388 8854 10317 13281 13756 17708 20634 26562 30951 39843 41268 42173 53124 61902 79686 84346 123804 126519 159372 168692 253038 379557 506076 759114 801287 1518228 1602574 2403861 3205148 4807722 7211583 9615444 14423166 28846332