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28094688 = 25353613
BaseRepresentation
bin110101100101…
…1000011100000
31221212100200000
41223023003200
524143012223
62442100000
7460541466
oct153130340
957770600
1028094688
1114949a56
1294aa600
135a8899b
143a34836
1526ee543
hex1acb0e0

28094688 has 72 divisors (see below), whose sum is σ = 82876248. Its totient is φ = 9362304.

The previous prime is 28094687. The next prime is 28094699. The reversal of 28094688 is 88649082.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×280946882 = 1578622987634688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28094687) 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 11 ways as a sum of consecutive naturals, for example, 5970 + ... + 9582.

It is an arithmetic number, because the mean of its divisors is an integer number (1151059).

Almost surely, 228094688 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 28094688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41438124).

28094688 is an abundant number, since it is smaller than the sum of its proper divisors (54781560).

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

28094688 is an equidigital number, since it uses as much as digits as its factorization.

28094688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 28094688 is about 5300.4422456999. The cubic root of 28094688 is about 304.0008079388. Note that the first 3 decimals are identical.

It can be divided in two parts, 28094 and 688, that added together give a palindrome (28782).

The spelling of 28094688 in words is "twenty-eight million, ninety-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3613 3888 7226 7776 10839 14452 21678 28904 32517 43356 57808 65034 86712 97551 115616 130068 173424 195102 260136 292653 346848 390204 520272 585306 780408 877959 1040544 1170612 1560816 1755918 2341224 3121632 3511836 4682448 7023672 9364896 14047344 28094688