428760 has 64 divisors (see below), whose sum is σ = 1432800. Its totient is φ = 114048.

The previous prime is 428759. The next prime is 428777. The reversal of 428760 is 67824.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 882 + ... + 1278.

2⁴²⁸⁷⁶⁰ is an apocalyptic number.

428760 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 428760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716400).

428760 is an abundant number, since it is smaller than the sum of its proper divisors (1004040).

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

428760 is a wasteful number, since it uses less digits than its factorization.

428760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 428760 is about 654.7976786764. The cubic root of 428760 is about 75.4058003873.

The spelling of 428760 in words is "four hundred twenty-eight thousand, seven hundred sixty".