45289128 has 32 divisors (see below), whose sum is σ = 113981760. Its totient is φ = 14995200.

The previous prime is 45289121. The next prime is 45289129. The reversal of 45289128 is 82198254.

It is a super-3 number, since 3×45289128³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (45289121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2625 + ... + 9872.

It is an arithmetic number, because the mean of its divisors is an integer number (3561930).

Almost surely, 2^45289128 is an apocalyptic number.

It is an amenable number.

45289128 is an abundant number, since it is smaller than the sum of its proper divisors (68692632).

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

45289128 is a wasteful number, since it uses less digits than its factorization.

45289128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12657 (or 12653 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 45289128 is about 6729.7197564237. The cubic root of 45289128 is about 356.4494806477.

The spelling of 45289128 in words is "forty-five million, two hundred eighty-nine thousand, one hundred twenty-eight".