45428500 has 96 divisors (see below), whose sum is σ = 110990880. Its totient is φ = 16128000.

The previous prime is 45428491. The next prime is 45428521. The reversal of 45428500 is 582454.

45428500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 34152336 + 11276164 = 5844^2 + 3358^2 .

It is a super-2 number, since 2×45428500² = 4127497224500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 188380 + ... + 188620.

It is an arithmetic number, because the mean of its divisors is an integer number (1156155).

Almost surely, 2^45428500 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 45428500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55495440).

45428500 is an abundant number, since it is smaller than the sum of its proper divisors (65562380).

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

45428500 is a wasteful number, since it uses less digits than its factorization.

45428500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 45428500 is about 6740.0667652480. The cubic root of 45428500 is about 356.8147500890.

The spelling of 45428500 in words is "forty-five million, four hundred twenty-eight thousand, five hundred".