44029728 has 162 divisors, whose sum is σ = 139042449. Its totient is φ = 13212672.

The previous prime is 44029709. The next prime is 44029729. The reversal of 44029728 is 82792044.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 40297104 + 3732624 = 6348^2 + 1932^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4692.

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 = 44029692 and 44029701.

It is not an unprimeable number, because it can be changed into a prime (44029729) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1914325 + ... + 1914347.

Almost surely, 2^44029728 is an apocalyptic number.

44029728 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 44029728

44029728 is an abundant number, since it is smaller than the sum of its proper divisors (95012721).

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

44029728 is a wasteful number, since it uses less digits than its factorization.

44029728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 44029728 is about 6635.4900346546. The cubic root of 44029728 is about 353.1143233569.

The spelling of 44029728 in words is "forty-four million, twenty-nine thousand, seven hundred twenty-eight".