428441640 has 192 divisors, whose sum is σ = 1488110400. Its totient is φ = 98334720.

The previous prime is 428441623. The next prime is 428441641. The reversal of 428441640 is 46144824.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (428441641) 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, 275104 + ... + 276656.

It is an arithmetic number, because the mean of its divisors is an integer number (7750575).

Almost surely, 2^428441640 is an apocalyptic number.

428441640 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 428441640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744055200).

428441640 is an abundant number, since it is smaller than the sum of its proper divisors (1059668760).

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

428441640 is a wasteful number, since it uses less digits than its factorization.

428441640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 428441640 is about 20698.8318510973. The cubic root of 428441640 is about 753.8713249639.

The spelling of 428441640 in words is "four hundred twenty-eight million, four hundred forty-one thousand, six hundred forty".