45601128 has 48 divisors (see below), whose sum is σ = 124500480. Its totient is φ = 15077664.

The previous prime is 45601103. The next prime is 45601133. The reversal of 45601128 is 82110654.

45601128 is a `hidden beast` number, since 45 + 601 + 12 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6651 + ... + 11637.

It is an arithmetic number, because the mean of its divisors is an integer number (2593760).

Almost surely, 2^45601128 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 45601128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62250240).

45601128 is an abundant number, since it is smaller than the sum of its proper divisors (78899352).

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

45601128 is a wasteful number, since it uses less digits than its factorization.

45601128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5126 (or 5119 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 45601128 is about 6752.8607271289. The cubic root of 45601128 is about 357.2661433718.

The spelling of 45601128 in words is "forty-five million, six hundred one thousand, one hundred twenty-eight".