428114840 has 64 divisors (see below), whose sum is σ = 1017727200. Its totient is φ = 161630208.

The previous prime is 428114839. The next prime is 428114891. The reversal of 428114840 is 48411824.

It is a junction number, because it is equal to n+sod(n) for n = 428114797 and 428114806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240032 + ... + 241808.

Almost surely, 2^428114840 is an apocalyptic number.

428114840 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 428114840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508863600).

428114840 is an abundant number, since it is smaller than the sum of its proper divisors (589612360).

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

428114840 is a wasteful number, since it uses less digits than its factorization.

428114840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 428114840 is about 20690.9361798832. The cubic root of 428114840 is about 753.6796008238.

The spelling of 428114840 in words is "four hundred twenty-eight million, one hundred fourteen thousand, eight hundred forty".