44827968 has 112 divisors (see below), whose sum is σ = 125455680. Its totient is φ = 14106624.

The previous prime is 44827961. The next prime is 44828009. The reversal of 44827968 is 86972844.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (774144) is a multiple of the sum of its prime factors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44827961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462096 + ... + 462192.

It is an arithmetic number, because the mean of its divisors is an integer number (1120140).

Almost surely, 2^44827968 is an apocalyptic number.

44827968 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 44827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62727840).

44827968 is an abundant number, since it is smaller than the sum of its proper divisors (80627712).

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

44827968 is a wasteful number, since it uses less digits than its factorization.

44827968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 44827968 is about 6695.3691459097. The cubic root of 44827968 is about 355.2354927604.

It can be divided in two parts, 4482 and 7968, that multiplied together give a square (35712576 = 5976²).

The spelling of 44827968 in words is "forty-four million, eight hundred twenty-seven thousand, nine hundred sixty-eight".