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28668312 = 2332398171
BaseRepresentation
bin110110101011…
…1000110011000
31222221111112100
41231113012120
524314341222
62502243400
7465451041
oct155270630
958844470
1028668312
1115200a22
129726560
135c29aca
143b438c8
1527b44ac
hex1b57198

28668312 has 24 divisors (see below), whose sum is σ = 77643540. Its totient is φ = 9556080.

The previous prime is 28668293. The next prime is 28668313. The reversal of 28668312 is 21386682.

28668312 is a `hidden beast` number, since 286 + 68 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×286683122 = 1643744225858688, which contains 22 as substring.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28668313) 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 5 ways as a sum of consecutive naturals, for example, 199014 + ... + 199157.

Almost surely, 228668312 is an apocalyptic number.

It is an amenable number.

28668312 is an abundant number, since it is smaller than the sum of its proper divisors (48975228).

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

28668312 is a wasteful number, since it uses less digits than its factorization.

28668312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398183 (or 398176 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 28668312 is about 5354.2797835003. The cubic root of 28668312 is about 306.0558657452.

The spelling of 28668312 in words is "twenty-eight million, six hundred sixty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 398171 796342 1194513 1592684 2389026 3185368 3583539 4778052 7167078 9556104 14334156 28668312