64444128 has 96 divisors (see below), whose sum is σ = 198132480. Its totient is φ = 17955840.

The previous prime is 64444111. The next prime is 64444129. The reversal of 64444128 is 82144446.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64444129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26383 + ... + 28721.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2^64444128 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 64444128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

64444128 is an abundant number, since it is smaller than the sum of its proper divisors (133688352).

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

64444128 is a wasteful number, since it uses less digits than its factorization.

64444128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2392 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 64444128 is about 8027.7100097101. The cubic root of 64444128 is about 400.9231345841.

The spelling of 64444128 in words is "sixty-four million, four hundred forty-four thousand, one hundred twenty-eight".