45028200 has 192 divisors, whose sum is σ = 162846720. Its totient is φ = 10080000.

The previous prime is 45028171. The next prime is 45028219. The reversal of 45028200 is 282054.

45028200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 298125 + ... + 298275.

It is an arithmetic number, because the mean of its divisors is an integer number (848160).

Almost surely, 2^45028200 is an apocalyptic number.

45028200 is a gapful number since it is divisible by the number (40) 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 45028200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81423360).

45028200 is an abundant number, since it is smaller than the sum of its proper divisors (117818520).

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

45028200 is a wasteful number, since it uses less digits than its factorization.

45028200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 45028200 is about 6710.3055072031. The cubic root of 45028200 is about 355.7636144831.

The spelling of 45028200 in words is "forty-five million, twenty-eight thousand, two hundred".