32628864 has 64 divisors (see below), whose sum is σ = 89498880. Its totient is φ = 10521600.

The previous prime is 32628859. The next prime is 32628917. The reversal of 32628864 is 46882623.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10534 + ... + 13274.

It is an arithmetic number, because the mean of its divisors is an integer number (1398420).

Almost surely, 2^32628864 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 32628864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44749440).

32628864 is an abundant number, since it is smaller than the sum of its proper divisors (56870016).

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

32628864 is a wasteful number, since it uses less digits than its factorization.

32628864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2777 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 32628864 is about 5712.1680647544. The cubic root of 32628864 is about 319.5464407746.

It can be divided in two parts, 32 and 628864, that multiplied together give a cube (20123648 = 272³).

The spelling of 32628864 in words is "thirty-two million, six hundred twenty-eight thousand, eight hundred sixty-four".