45707328 has 84 divisors (see below), whose sum is σ = 135910320. Its totient is φ = 15230592.

The previous prime is 45707327. The next prime is 45707357. The reversal of 45707328 is 82370754.

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 = 45707292 and 45707301.

It is not an unprimeable number, because it can be changed into a prime (45707327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14083 + ... + 17021.

It is an arithmetic number, because the mean of its divisors is an integer number (1617980).

Almost surely, 2^45707328 is an apocalyptic number.

45707328 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 45707328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67955160).

45707328 is an abundant number, since it is smaller than the sum of its proper divisors (90202992).

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

45707328 is an equidigital number, since it uses as much as digits as its factorization.

45707328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2966 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 45707328 is about 6760.7194883385. The cubic root of 45707328 is about 357.5432728358.

The spelling of 45707328 in words is "forty-five million, seven hundred seven thousand, three hundred twenty-eight".