32628080 has 80 divisors (see below), whose sum is σ = 79500864. Its totient is φ = 12441600.

The previous prime is 32628077. The next prime is 32628119. The reversal of 32628080 is 8082623.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216005 + ... + 216155.

Almost surely, 2^32628080 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 32628080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39750432).

32628080 is an abundant number, since it is smaller than the sum of its proper divisors (46872784).

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

32628080 is a wasteful number, since it uses less digits than its factorization.

32628080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 32628080 is about 5712.0994389104. The cubic root of 32628080 is about 319.5438814209.

The spelling of 32628080 in words is "thirty-two million, six hundred twenty-eight thousand, eighty".