42444288 has 120 divisors (see below), whose sum is σ = 125329776. Its totient is φ = 13824000.

The previous prime is 42444287. The next prime is 42444293. The reversal of 42444288 is 88244424.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (42444287) 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, 281013 + ... + 281163.

Almost surely, 2^42444288 is an apocalyptic number.

42444288 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 42444288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62664888).

42444288 is an abundant number, since it is smaller than the sum of its proper divisors (82885488).

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

42444288 is a wasteful number, since it uses less digits than its factorization.

42444288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 217 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The square root of 42444288 is about 6514.9280886285. The cubic root of 42444288 is about 348.8240479450.

The spelling of 42444288 in words is "forty-two million, four hundred forty-four thousand, two hundred eighty-eight".