45347328 has 120 divisors (see below), whose sum is σ = 141128988. Its totient is φ = 13934592.

The previous prime is 45347293. The next prime is 45347333. The reversal of 45347328 is 82374354.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 44515584 + 831744 = 6672^2 + 912^2 .

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 = 45347292 and 45347301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59526 + ... + 60282.

Almost surely, 2^45347328 is an apocalyptic number.

45347328 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 45347328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70564494).

45347328 is an abundant number, since it is smaller than the sum of its proper divisors (95781660).

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

45347328 is a wasteful number, since it uses less digits than its factorization.

45347328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 775 counting only the distinct ones).

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

The square root of 45347328 is about 6734.0424709085. The cubic root of 45347328 is about 356.6021035881.

The spelling of 45347328 in words is "forty-five million, three hundred forty-seven thousand, three hundred twenty-eight".