45275328 has 224 divisors, whose sum is σ = 160934400. Its totient is φ = 12192768.

The previous prime is 45275327. The next prime is 45275333. The reversal of 45275328 is 82357254.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 45275292 and 45275301.

It is not an unprimeable number, because it can be changed into a prime (45275327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 229726 + ... + 229922.

Almost surely, 2^45275328 is an apocalyptic number.

45275328 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 45275328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80467200).

45275328 is an abundant number, since it is smaller than the sum of its proper divisors (115659072).

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

45275328 is a wasteful number, since it uses less digits than its factorization.

45275328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 228 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 45275328 is about 6728.6943755828. The cubic root of 45275328 is about 356.4132725277.

The spelling of 45275328 in words is "forty-five million, two hundred seventy-five thousand, three hundred twenty-eight".