44282880 has 198 divisors, whose sum is σ = 158548338. Its totient is φ = 11427840.

The previous prime is 44282879. The next prime is 44282881. The reversal of 44282880 is 8828244.

It is an interprime number because it is at equal distance from previous prime (44282879) and next prime (44282881).

It can be written as a sum of positive squares in only one way, i.e., 35426304 + 8856576 = 5952^2 + 2976^2 .

It is a super-2 number, since 2×44282880² = 3921946922188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44282881) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1428465 + ... + 1428495.

Almost surely, 2^44282880 is an apocalyptic number.

44282880 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 44282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79274169).

44282880 is an abundant number, since it is smaller than the sum of its proper divisors (114265458).

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

44282880 is a wasteful number, since it uses less digits than its factorization.

44282880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 44282880 is about 6654.5383010394. The cubic root of 44282880 is about 353.7897823048.

The spelling of 44282880 in words is "forty-four million, two hundred eighty-two thousand, eight hundred eighty".