64028672 has 34 divisors (see below), whose sum is σ = 128187438. Its totient is φ = 31981568.

The previous prime is 64028669. The next prime is 64028687. The reversal of 64028672 is 27682046.

It can be written as a sum of positive squares in only one way, i.e., 62980096 + 1048576 = 7936^2 + 1024^2 .

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65048 + ... + 66024.

Almost surely, 2^64028672 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 64028672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64093719).

64028672 is an abundant number, since it is smaller than the sum of its proper divisors (64158766).

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

64028672 is an frugal number, since it uses more digits than its factorization.

64028672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 64028672 is about 8001.7917993409. The cubic root of 64028672 is about 400.0597244154.

The spelling of 64028672 in words is "sixty-four million, twenty-eight thousand, six hundred seventy-two".