32928 has 48 divisors (see below), whose sum is σ = 100800. Its totient is φ = 9408.

The previous prime is 32917. The next prime is 32933. The reversal of 32928 is 82923.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (864) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 32898 and 32907.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 32928.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4701 + ... + 4707.

It is an arithmetic number, because the mean of its divisors is an integer number (2100).

2^{32928} 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 32928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50400).

32928 is an abundant number, since it is smaller than the sum of its proper divisors (67872).

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

32928 is an equidigital number, since it uses as much as digits as its factorization.

32928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 12 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 32928 is about 181.4607395554. The cubic root of 32928 is about 32.0519987915.

The spelling of 32928 in words is "thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 392 588 672 686 784 1029 1176 1372 1568 2058 2352 2744 4116 4704 5488 8232 10976 16464 32928

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