32628672 has 84 divisors (see below), whose sum is σ = 96114616. Its totient is φ = 10575360.

The previous prime is 32628641. The next prime is 32628679. The reversal of 32628672 is 27682623.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32628679) 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, 20547 + ... + 22077.

Almost surely, 2^32628672 is an apocalyptic number.

32628672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32628672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48057308).

32628672 is an abundant number, since it is smaller than the sum of its proper divisors (63485944).

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

32628672 is a wasteful number, since it uses less digits than its factorization.

32628672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1573 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 32628672 is about 5712.1512585015. The cubic root of 32628672 is about 319.5458139979.

The spelling of 32628672 in words is "thirty-two million, six hundred twenty-eight thousand, six hundred seventy-two".