45659628 has 144 divisors (see below), whose sum is σ = 139426560. Its totient is φ = 12327552.

The previous prime is 45659611. The next prime is 45659639. The reversal of 45659628 is 82695654.

45659628 is a `hidden beast` number, since 4 + 56 + 596 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550075 + ... + 550157.

It is an arithmetic number, because the mean of its divisors is an integer number (968240).

Almost surely, 2^45659628 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 45659628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69713280).

45659628 is an abundant number, since it is smaller than the sum of its proper divisors (93766932).

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

45659628 is a wasteful number, since it uses less digits than its factorization.

45659628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 191 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 45659628 is about 6757.1908364349. The cubic root of 45659628 is about 357.4188525945.

The spelling of 45659628 in words is "forty-five million, six hundred fifty-nine thousand, six hundred twenty-eight".