428648000 has 112 divisors (see below), whose sum is σ = 1158288768. Its totient is φ = 155840000.

The previous prime is 428647991. The next prime is 428648021. The reversal of 428648000 is 846824.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85565 + ... + 90435.

It is an arithmetic number, because the mean of its divisors is an integer number (10341864).

Almost surely, 2^428648000 is an apocalyptic number.

428648000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579144384).

428648000 is an abundant number, since it is smaller than the sum of its proper divisors (729640768).

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

428648000 is a wasteful number, since it uses less digits than its factorization.

428648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909 (or 4889 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 428648000 is about 20703.8160733716. The cubic root of 428648000 is about 753.9923402140.

The spelling of 428648000 in words is "four hundred twenty-eight million, six hundred forty-eight thousand".