44284128 has 48 divisors (see below), whose sum is σ = 132854400. Its totient is φ = 12652416.

The previous prime is 44284127. The next prime is 44284139. The reversal of 44284128 is 82148244.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×44284128² = 3922167985440768, which contains 22 as substring.

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 (44284127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32278 + ... + 33621.

It is an arithmetic number, because the mean of its divisors is an integer number (2767800).

Almost surely, 2^44284128 is an apocalyptic number.

44284128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

44284128 is an abundant number, since it is smaller than the sum of its proper divisors (88570272).

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

44284128 is a wasteful number, since it uses less digits than its factorization.

44284128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65919 (or 65911 counting only the distinct ones).

The product of its digits is 16384, while the sum is 33.

The square root of 44284128 is about 6654.6320709713. The cubic root of 44284128 is about 353.7931058278.

The spelling of 44284128 in words is "forty-four million, two hundred eighty-four thousand, one hundred twenty-eight".