428744340 has 144 divisors (see below), whose sum is σ = 1378121472. Its totient is φ = 111839616.

The previous prime is 428744333. The next prime is 428744341. The reversal of 428744340 is 43447824.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 428744295 and 428744304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428744341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227482 + ... + 229358.

It is an arithmetic number, because the mean of its divisors is an integer number (9570288).

Almost surely, 2^428744340 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 428744340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689060736).

428744340 is an abundant number, since it is smaller than the sum of its proper divisors (949377132).

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

428744340 is a wasteful number, since it uses less digits than its factorization.

428744340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 428744340 is about 20706.1425668810. The cubic root of 428744340 is about 754.0488233740.

The spelling of 428744340 in words is "four hundred twenty-eight million, seven hundred forty-four thousand, three hundred forty".