44360928 has 144 divisors (see below), whose sum is σ = 135940896. Its totient is φ = 13685760.

The previous prime is 44360909. The next prime is 44360933. The reversal of 44360928 is 82906344.

It is a happy number.

44360928 is a `hidden beast` number, since 4 + 43 + 609 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 44360892 and 44360901.

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 23 ways as a sum of consecutive naturals, for example, 244998 + ... + 245178.

It is an arithmetic number, because the mean of its divisors is an integer number (944034).

Almost surely, 2^44360928 is an apocalyptic number.

44360928 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 44360928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67970448).

44360928 is an abundant number, since it is smaller than the sum of its proper divisors (91579968).

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

44360928 is a wasteful number, since it uses less digits than its factorization.

44360928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 44360928 is about 6660.3999879887. The cubic root of 44360928 is about 353.9975102765.

The spelling of 44360928 in words is "forty-four million, three hundred sixty thousand, nine hundred twenty-eight".