428769648 has 90 divisors (see below), whose sum is σ = 1274821184. Its totient is φ = 134502912.

The previous prime is 428769647. The next prime is 428769683. The reversal of 428769648 is 846967824.

It is a super-2 number, since 2×428769648² = 367686822092087808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 428769594 and 428769603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428769647) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36465 + ... + 46767.

Almost surely, 2^428769648 is an apocalyptic number.

428769648 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 428769648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637410592).

428769648 is an abundant number, since it is smaller than the sum of its proper divisors (846051536).

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

428769648 is a wasteful number, since it uses less digits than its factorization.

428769648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10351 (or 10325 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 428769648 is about 20706.7536808646. The cubic root of 428769648 is about 754.0636597931.

The spelling of 428769648 in words is "four hundred twenty-eight million, seven hundred sixty-nine thousand, six hundred forty-eight".