44085888 has 288 divisors, whose sum is σ = 163257120. Its totient is φ = 11289600.

The previous prime is 44085869. The next prime is 44085893. The reversal of 44085888 is 88858044.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 620893 + ... + 620963.

It is an arithmetic number, because the mean of its divisors is an integer number (566865).

Almost surely, 2^44085888 is an apocalyptic number.

44085888 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 44085888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81628560).

44085888 is an abundant number, since it is smaller than the sum of its proper divisors (119171232).

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

44085888 is a wasteful number, since it uses less digits than its factorization.

44085888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 44085888 is about 6639.7204760442. The cubic root of 44085888 is about 353.2643922295.

It can be divided in two parts, 4408 and 5888, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 44085888 in words is "forty-four million, eighty-five thousand, eight hundred eighty-eight".