428340640 has 288 divisors, whose sum is σ = 1310432256. Its totient is φ = 129392640.

The previous prime is 428340631. The next prime is 428340659. The reversal of 428340640 is 46043824.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5867644 + ... + 5867716.

It is an arithmetic number, because the mean of its divisors is an integer number (4550112).

Almost surely, 2^428340640 is an apocalyptic number.

428340640 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 428340640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655216128).

428340640 is an abundant number, since it is smaller than the sum of its proper divisors (882091616).

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

428340640 is a wasteful number, since it uses less digits than its factorization.

428340640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 428340640 is about 20696.3919560874. The cubic root of 428340640 is about 753.8120815878.

The spelling of 428340640 in words is "four hundred twenty-eight million, three hundred forty thousand, six hundred forty".