428744880 has 320 divisors, whose sum is σ = 1609420800. Its totient is φ = 104509440.

The previous prime is 428744867. The next prime is 428744881. The reversal of 428744880 is 88447824.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (428744881) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1272072 + ... + 1272408.

It is an arithmetic number, because the mean of its divisors is an integer number (5029440).

Almost surely, 2^428744880 is an apocalyptic number.

428744880 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 428744880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804710400).

428744880 is an abundant number, since it is smaller than the sum of its proper divisors (1180675920).

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

428744880 is a wasteful number, since it uses less digits than its factorization.

428744880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 428744880 is about 20706.1556064857. The cubic root of 428744880 is about 754.0491399467.

The spelling of 428744880 in words is "four hundred twenty-eight million, seven hundred forty-four thousand, eight hundred eighty".