45728001 has 24 divisors (see below), whose sum is σ = 72643584. Its totient is φ = 27488160.

The previous prime is 45727999. The next prime is 45728077. The reversal of 45728001 is 10082754.

It is not a de Polignac number, because 45728001 - 2¹ = 45727999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45728401) 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, 10755 + ... + 14391.

It is an arithmetic number, because the mean of its divisors is an integer number (3026816).

Almost surely, 2^45728001 is an apocalyptic number.

It is an amenable number.

45728001 is a deficient number, since it is larger than the sum of its proper divisors (26915583).

45728001 is a wasteful number, since it uses less digits than its factorization.

45728001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3781 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 45728001 is about 6762.2482208212. The cubic root of 45728001 is about 357.5971692117.

The spelling of 45728001 in words is "forty-five million, seven hundred twenty-eight thousand, one".