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28646232 = 23331139277
BaseRepresentation
bin110110101000…
…1101101011000
31222220101020120
41231101231120
524313134412
62501553240
7465326466
oct155215530
958811216
1028646232
111519637a
129715820
135c1ca44
143b39836
1527acb8c
hex1b51b58

28646232 has 64 divisors (see below), whose sum is σ = 74726400. Its totient is φ = 9141120.

The previous prime is 28646221. The next prime is 28646239. The reversal of 28646232 is 23264682.

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

It is a junction number, because it is equal to n+sod(n) for n = 28646193 and 28646202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28646239) 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 15 ways as a sum of consecutive naturals, for example, 103278 + ... + 103554.

It is an arithmetic number, because the mean of its divisors is an integer number (1167600).

Almost surely, 228646232 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 28646232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37363200).

28646232 is an abundant number, since it is smaller than the sum of its proper divisors (46080168).

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

28646232 is a wasteful number, since it uses less digits than its factorization.

28646232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 452 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 28646232 is about 5352.2174843704. The cubic root of 28646232 is about 305.9772720101.

The spelling of 28646232 in words is "twenty-eight million, six hundred forty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 139 186 248 277 278 372 417 554 556 744 831 834 1108 1112 1662 1668 2216 3324 3336 4309 6648 8587 8618 12927 17174 17236 25761 25854 34348 34472 38503 51522 51708 68696 77006 103044 103416 115509 154012 206088 231018 308024 462036 924072 1193593 2387186 3580779 4774372 7161558 9548744 14323116 28646232