428187648 has 224 divisors, whose sum is σ = 1384035840. Its totient is φ = 115015680.

The previous prime is 428187631. The next prime is 428187649. The reversal of 428187648 is 846781824.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 428187597 and 428187606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428187649) 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, 3268543 + ... + 3268673.

Almost surely, 2^428187648 is an apocalyptic number.

428187648 is a gapful number since it is divisible by the number (48) 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 428187648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692017920).

428187648 is an abundant number, since it is smaller than the sum of its proper divisors (955848192).

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

428187648 is a wasteful number, since it uses less digits than its factorization.

428187648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 162 counting only the distinct ones).

The product of its digits is 688128, while the sum is 48.

The square root of 428187648 is about 20692.6955228167. The cubic root of 428187648 is about 753.7223236237.

The spelling of 428187648 in words is "four hundred twenty-eight million, one hundred eighty-seven thousand, six hundred forty-eight".