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28992 = 263151
BaseRepresentation
bin111000101000000
31110202210
413011000
51411432
6342120
7150345
oct70500
943683
1028992
111a867
1214940
1310272
14a7cc
1588cc
hex7140

28992 has 28 divisors (see below), whose sum is σ = 77216. Its totient is φ = 9600.

The previous prime is 28979. The next prime is 29009. The reversal of 28992 is 29982.

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28992.

It is an unprimeable number.

28992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 117 + ... + 267.

228992 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 28992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38608).

28992 is an abundant number, since it is smaller than the sum of its proper divisors (48224).

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

28992 is a wasteful number, since it uses less digits than its factorization.

28992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 156 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 28992 is about 170.2703732303. The cubic root of 28992 is about 30.7203428781.

Subtracting 28992 from its reverse (29982), we obtain a triangular number (990 = T44).

The spelling of 28992 in words is "twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 151 192 302 453 604 906 1208 1812 2416 3624 4832 7248 9664 14496 28992