44771328 has 144 divisors (see below), whose sum is σ = 148206240. Its totient is φ = 12754944.

The previous prime is 44771323. The next prime is 44771341. The reversal of 44771328 is 82317744.

It is a happy number.

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 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 = 44771292 and 44771301.

It is not an unprimeable number, because it can be changed into a prime (44771323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128851 + ... + 129197.

It is an arithmetic number, because the mean of its divisors is an integer number (1029210).

Almost surely, 2^44771328 is an apocalyptic number.

44771328 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 44771328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74103120).

44771328 is an abundant number, since it is smaller than the sum of its proper divisors (103434912).

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

44771328 is a wasteful number, since it uses less digits than its factorization.

44771328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 359 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 44771328 is about 6691.1380197990. The cubic root of 44771328 is about 355.0858167193.

The spelling of 44771328 in words is "forty-four million, seven hundred seventy-one thousand, three hundred twenty-eight".