45028648 has 96 divisors (see below), whose sum is σ = 108037800. Its totient is φ = 17461248.

The previous prime is 45028639. The next prime is 45028649. The reversal of 45028648 is 84682054.

It can be written as a sum of positive squares in 4 ways, for example, as 38464804 + 6563844 = 6202^2 + 2562^2 .

It is not an unprimeable number, because it can be changed into a prime (45028649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193140 + ... + 193372.

Almost surely, 2^45028648 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 45028648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54018900).

45028648 is an abundant number, since it is smaller than the sum of its proper divisors (63009152).

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

45028648 is a wasteful number, since it uses less digits than its factorization.

45028648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 45028648 is about 6710.3388886106. The cubic root of 45028648 is about 355.7647943479.

The spelling of 45028648 in words is "forty-five million, twenty-eight thousand, six hundred forty-eight".