428778 has 48 divisors (see below), whose sum is σ = 1100736. Its totient is φ = 118080.

The previous prime is 428777. The next prime is 428797. The reversal of 428778 is 877824.

It is a super-3 number, since 3×428778³ = 236493243334700856, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (428777) 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, 5125 + ... + 5207.

It is an arithmetic number, because the mean of its divisors is an integer number (22932).

2⁴²⁸⁷⁷⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368).

428778 is an abundant number, since it is smaller than the sum of its proper divisors (671958).

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

428778 is a wasteful number, since it uses less digits than its factorization.

428778 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 136 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 428778 is about 654.8114232357. The cubic root of 428778 is about 75.4068555894.

It can be divided in two parts, 4 and 28778, that added together give a palindrome (28782).

The spelling of 428778 in words is "four hundred twenty-eight thousand, seven hundred seventy-eight".