45743328 has 72 divisors (see below), whose sum is σ = 137749248. Its totient is φ = 14349312.

The previous prime is 45743281. The next prime is 45743339. The reversal of 45743328 is 82334754.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45743292 and 45743301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225 + ... + 9567.

It is an arithmetic number, because the mean of its divisors is an integer number (1913184).

Almost surely, 2^45743328 is an apocalyptic number.

45743328 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 45743328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68874624).

45743328 is an abundant number, since it is smaller than the sum of its proper divisors (92005920).

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

45743328 is a wasteful number, since it uses less digits than its factorization.

45743328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9376 (or 9365 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 45743328 is about 6763.3814028192. The cubic root of 45743328 is about 357.6371175982.

The spelling of 45743328 in words is "forty-five million, seven hundred forty-three thousand, three hundred twenty-eight".