45123328 has 36 divisors (see below), whose sum is σ = 94821160. Its totient is φ = 21371904.

The previous prime is 45123319. The next prime is 45123349. The reversal of 45123328 is 82332154.

It is a super-2 number, since 2×45123328² = 4072229459591168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45123296 and 45123305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 226 + ... + 9502.

Almost surely, 2^45123328 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 45123328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47410580).

45123328 is an abundant number, since it is smaller than the sum of its proper divisors (49697832).

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

45123328 is an equidigital number, since it uses as much as digits as its factorization.

45123328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9312 (or 9298 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 45123328 is about 6717.3899693259. The cubic root of 45123328 is about 356.0139707516.

It can be divided in two parts, 45123 and 328, that added together give a triangular number (45451 = T₃₀₁).

The spelling of 45123328 in words is "forty-five million, one hundred twenty-three thousand, three hundred twenty-eight".