32628132 has 36 divisors (see below), whose sum is σ = 85323420. Its totient is φ = 10500672.

The previous prime is 32628131. The next prime is 32628133. The reversal of 32628132 is 23182623.

32628132 is a `hidden beast` number, since 3 + 2 + 628 + 1 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (32628131) and next prime (32628133).

It can be written as a sum of positive squares in 2 ways, for example, as 18610596 + 14017536 = 4314^2 + 3744^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 32628096 and 32628105.

It is not an unprimeable number, because it can be changed into a prime (32628131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14583 + ... + 16670.

It is an arithmetic number, because the mean of its divisors is an integer number (2370095).

Almost surely, 2^32628132 is an apocalyptic number.

It is an amenable number.

32628132 is an abundant number, since it is smaller than the sum of its proper divisors (52695288).

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

32628132 is a wasteful number, since it uses less digits than its factorization.

32628132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31292 (or 31287 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 32628132 is about 5712.1039906500. The cubic root of 32628132 is about 319.5440511752.

The spelling of 32628132 in words is "thirty-two million, six hundred twenty-eight thousand, one hundred thirty-two".