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32628 = 2232719
BaseRepresentation
bin111111101110100
31122202110
413331310
52021003
6411020
7164061
oct77564
948673
1032628
1122572
1216a70
1311b0b
14bc68
159a03
hex7f74

32628 has 12 divisors (see below), whose sum is σ = 76160. Its totient is φ = 10872.

The previous prime is 32621. The next prime is 32633. The reversal of 32628 is 82623.

It is a tau number, because it is divible by the number of its divisors (12).

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 32628.

It is not an unprimeable number, because it can be changed into a prime (32621) by changing a digit.

32628 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1348 + ... + 1371.

232628 is an apocalyptic number.

It is an amenable number.

32628 is an abundant number, since it is smaller than the sum of its proper divisors (43532).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38080).

32628 is a wasteful number, since it uses less digits than its factorization.

32628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2724 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 32628 is about 180.6322230390. The cubic root of 32628 is about 31.9543620260.

The spelling of 32628 in words is "thirty-two thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 2719 5438 8157 10876 16314 32628