44872128 has 168 divisors, whose sum is σ = 152156160. Its totient is φ = 12372480.

The previous prime is 44872123. The next prime is 44872141. The reversal of 44872128 is 82127844.

It is a tau number, because it is divible by the number of its divisors (168).

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 junction number, because it is equal to n+sod(n) for n = 44872092 and 44872101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44872123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124813 + ... + 125171.

Almost surely, 2^44872128 is an apocalyptic number.

44872128 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 44872128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76078080).

44872128 is an abundant number, since it is smaller than the sum of its proper divisors (107284032).

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

44872128 is a wasteful number, since it uses less digits than its factorization.

44872128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 402 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 44872128 is about 6698.6661358811. Note that the first 3 decimals coincide. The cubic root of 44872128 is about 355.3521018903.

The spelling of 44872128 in words is "forty-four million, eight hundred seventy-two thousand, one hundred twenty-eight".