44728320 has 256 divisors, whose sum is σ = 176158080. Its totient is φ = 9437184.

The previous prime is 44728297. The next prime is 44728351. The reversal of 44728320 is 2382744.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×44728320² = 4001245220044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3440634 + ... + 3440646.

Almost surely, 2^44728320 is an apocalyptic number.

44728320 is a gapful number since it is divisible by the number (40) 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 44728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88079040).

44728320 is an abundant number, since it is smaller than the sum of its proper divisors (131429760).

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

44728320 is an equidigital number, since it uses as much as digits as its factorization.

44728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 44728320 is about 6687.9234445379. The cubic root of 44728320 is about 354.9720800630.

The spelling of 44728320 in words is "forty-four million, seven hundred twenty-eight thousand, three hundred twenty".