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28212032 = 264783113
BaseRepresentation
bin110101110011…
…1101101000000
31222002022122002
41223213231000
524210241112
62444403132
7461540552
oct153475500
958068562
1028212032
1114a1a132
1295464a8
135aca214
143a654d2
1527241c2
hex1ae7b40

28212032 has 56 divisors (see below), whose sum is σ = 58375296. Its totient is φ = 13518848.

The previous prime is 28212013. The next prime is 28212043. The reversal of 28212032 is 23021282.

It is a junction number, because it is equal to n+sod(n) for n = 28211995 and 28212013.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 249608 + ... + 249720.

It is an arithmetic number, because the mean of its divisors is an integer number (1042416).

Almost surely, 228212032 is an apocalyptic number.

It is a pronic number, being equal to 5311×5312.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29187648).

28212032 is an abundant number, since it is smaller than the sum of its proper divisors (30163264).

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

28212032 is a wasteful number, since it uses less digits than its factorization.

28212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 28212032 is about 5311.4999764662. The cubic root of 28212032 is about 304.4234634085.

The spelling of 28212032 in words is "twenty-eight million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 47 64 83 94 113 166 188 226 332 376 452 664 752 904 1328 1504 1808 2656 3008 3616 3901 5311 5312 7232 7802 9379 10622 15604 18758 21244 31208 37516 42488 62416 75032 84976 124832 150064 169952 249664 300128 339904 440813 600256 881626 1763252 3526504 7053008 14106016 28212032