403728648 has 64 divisors (see below), whose sum is σ = 1074332160. Its totient is φ = 125991936.

The previous prime is 403728643. The next prime is 403728659. The reversal of 403728648 is 846827304.

It is a Cunningham number, because it is equal to 20093²-1.

It is not an unprimeable number, because it can be changed into a prime (403728643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77865 + ... + 82887.

It is an arithmetic number, because the mean of its divisors is an integer number (16786440).

Almost surely, 2^403728648 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 403728648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537166080).

403728648 is an abundant number, since it is smaller than the sum of its proper divisors (670603512).

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

403728648 is a wasteful number, since it uses less digits than its factorization.

403728648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5246 (or 5242 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 403728648 is about 20092.9999751157. Note that the first 4 decimals coincide. The cubic root of 403728648 is about 739.0886321184.

The spelling of 403728648 in words is "four hundred three million, seven hundred twenty-eight thousand, six hundred forty-eight".