428007040 has 32 divisors (see below), whose sum is σ = 1023205860. Its totient is φ = 171202560.

The previous prime is 428007037. The next prime is 428007059. The reversal of 428007040 is 40700824.

It can be written as a sum of positive squares in 2 ways, for example, as 419102784 + 8904256 = 20472^2 + 2984^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 428006996 and 428007014.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 333741 + ... + 335020.

Almost surely, 2^428007040 is an apocalyptic number.

428007040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428007040 is an abundant number, since it is smaller than the sum of its proper divisors (595198820).

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

428007040 is an equidigital number, since it uses as much as digits as its factorization.

428007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668780 (or 668768 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 428007040 is about 20688.3310104996. The cubic root of 428007040 is about 753.6163362713.

Adding to 428007040 its reverse (40700824), we get a palindrome (468707864).

The spelling of 428007040 in words is "four hundred twenty-eight million, seven thousand, forty".