428777748 has 72 divisors (see below), whose sum is σ = 1247704640. Its totient is φ = 121616640.

The previous prime is 428777717. The next prime is 428777749. The reversal of 428777748 is 847777824.

It is a junction number, because it is equal to n+sod(n) for n = 428777694 and 428777703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428777749) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28908 + ... + 41148.

Almost surely, 2^428777748 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428777748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623852320).

428777748 is an abundant number, since it is smaller than the sum of its proper divisors (818926892).

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

428777748 is a wasteful number, since it uses less digits than its factorization.

428777748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12397 (or 12392 counting only the distinct ones).

The product of its digits is 4917248, while the sum is 54.

The square root of 428777748 is about 20706.9492683012. The cubic root of 428777748 is about 754.0684081681.

It can be divided in two parts, 42877 and 7748, that added together give a 4-th power (50625 = 15⁴).

The spelling of 428777748 in words is "four hundred twenty-eight million, seven hundred seventy-seven thousand, seven hundred forty-eight".