44727648 has 96 divisors (see below), whose sum is σ = 135717120. Its totient is φ = 12633600.

The previous prime is 44727607. The next prime is 44727671. The reversal of 44727648 is 84672744.

44727648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×44727648² = 4001124991223808, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67543 + ... + 68201.

It is an arithmetic number, because the mean of its divisors is an integer number (1413720).

Almost surely, 2^44727648 is an apocalyptic number.

44727648 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 44727648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67858560).

44727648 is an abundant number, since it is smaller than the sum of its proper divisors (90989472).

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

44727648 is a wasteful number, since it uses less digits than its factorization.

44727648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 772 counting only the distinct ones).

The product of its digits is 301056, while the sum is 42.

The square root of 44727648 is about 6687.8732045397. The cubic root of 44727648 is about 354.9703023494.

The spelling of 44727648 in words is "forty-four million, seven hundred twenty-seven thousand, six hundred forty-eight".