428648264 has 32 divisors (see below), whose sum is σ = 877586400. Its totient is φ = 194661120.

The previous prime is 428648249. The next prime is 428648267. The reversal of 428648264 is 462846824.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (428648267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162992 + ... + 165600.

It is an arithmetic number, because the mean of its divisors is an integer number (27424575).

Almost surely, 2^428648264 is an apocalyptic number.

428648264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

428648264 is an abundant number, since it is smaller than the sum of its proper divisors (448938136).

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

428648264 is a wasteful number, since it uses less digits than its factorization.

428648264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4493 (or 4489 counting only the distinct ones).

The product of its digits is 589824, while the sum is 44.

The square root of 428648264 is about 20703.8224490069. The cubic root of 428648264 is about 753.9924950061.

The spelling of 428648264 in words is "four hundred twenty-eight million, six hundred forty-eight thousand, two hundred sixty-four".