44628672 has 168 divisors, whose sum is σ = 138641328. Its totient is φ = 12615680.

The previous prime is 44628667. The next prime is 44628679. The reversal of 44628672 is 27682644.

It is a self number, because there is not a number n which added to its sum of digits gives 44628672.

It is not an unprimeable number, because it can be changed into a prime (44628679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394888 + ... + 395000.

It is an arithmetic number, because the mean of its divisors is an integer number (825246).

Almost surely, 2^44628672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44628672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69320664).

44628672 is an abundant number, since it is smaller than the sum of its proper divisors (94012656).

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

44628672 is a wasteful number, since it uses less digits than its factorization.

44628672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 146 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 44628672 is about 6680.4694445825. The cubic root of 44628672 is about 354.7082758451.

The spelling of 44628672 in words is "forty-four million, six hundred twenty-eight thousand, six hundred seventy-two".