44681328 has 80 divisors (see below), whose sum is σ = 129054240. Its totient is φ = 14800896.

The previous prime is 44681303. The next prime is 44681393. The reversal of 44681328 is 82318644.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 44681292 and 44681301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126400 + ... + 126752.

It is an arithmetic number, because the mean of its divisors is an integer number (1613178).

Almost surely, 2^44681328 is an apocalyptic number.

44681328 is a gapful number since it is divisible by the number (48) 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 44681328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64527120).

44681328 is an abundant number, since it is smaller than the sum of its proper divisors (84372912).

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

44681328 is a wasteful number, since it uses less digits than its factorization.

44681328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 651 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 44681328 is about 6684.4093231938. The cubic root of 44681328 is about 354.8477241510.

The spelling of 44681328 in words is "forty-four million, six hundred eighty-one thousand, three hundred twenty-eight".