44368128 has 216 divisors, whose sum is σ = 153790560. Its totient is φ = 12579840.

The previous prime is 44368117. The next prime is 44368139. The reversal of 44368128 is 82186344.

It is an interprime number because it is at equal distance from previous prime (44368117) and next prime (44368139).

It is a tau number, because it is divible by the number of its divisors (216).

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 = 44368092 and 44368101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338623 + ... + 338753.

Almost surely, 2^44368128 is an apocalyptic number.

44368128 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 44368128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76895280).

44368128 is an abundant number, since it is smaller than the sum of its proper divisors (109422432).

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

44368128 is a wasteful number, since it uses less digits than its factorization.

44368128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 143 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 44368128 is about 6660.9404741373. The cubic root of 44368128 is about 354.0166610946.

The spelling of 44368128 in words is "forty-four million, three hundred sixty-eight thousand, one hundred twenty-eight".