428813440 has 128 divisors (see below), whose sum is σ = 1184440320. Its totient is φ = 146718720.

The previous prime is 428813431. The next prime is 428813509. The reversal of 428813440 is 44318824.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 428813396 and 428813405.

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, 117889 + ... + 121471.

It is an arithmetic number, because the mean of its divisors is an integer number (9253440).

Almost surely, 2^428813440 is an apocalyptic number.

428813440 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 428813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592220160).

428813440 is an abundant number, since it is smaller than the sum of its proper divisors (755626880).

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

428813440 is a wasteful number, since it uses less digits than its factorization.

428813440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3630 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 428813440 is about 20707.8110866407. The cubic root of 428813440 is about 754.0893307890.

The spelling of 428813440 in words is "four hundred twenty-eight million, eight hundred thirteen thousand, four hundred forty".