45828216 has 96 divisors (see below), whose sum is σ = 143769600. Its totient is φ = 12916800.

The previous prime is 45828197. The next prime is 45828217. The reversal of 45828216 is 61282854.

45828216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45828217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39241 + ... + 40391.

It is an arithmetic number, because the mean of its divisors is an integer number (1497600).

Almost surely, 2^45828216 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 45828216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71884800).

45828216 is an abundant number, since it is smaller than the sum of its proper divisors (97941384).

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

45828216 is a wasteful number, since it uses less digits than its factorization.

45828216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1242 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 45828216 is about 6769.6540531995. The cubic root of 45828216 is about 357.8582087803.

The spelling of 45828216 in words is "forty-five million, eight hundred twenty-eight thousand, two hundred sixteen".