428042880 has 320 divisors, whose sum is σ = 1599523200. Its totient is φ = 108877824.

The previous prime is 428042863. The next prime is 428042921. The reversal of 428042880 is 88240824.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1192141 + ... + 1192499.

It is an arithmetic number, because the mean of its divisors is an integer number (4998510).

Almost surely, 2^428042880 is an apocalyptic number.

428042880 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 428042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799761600).

428042880 is an abundant number, since it is smaller than the sum of its proper divisors (1171480320).

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

428042880 is a wasteful number, since it uses less digits than its factorization.

428042880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 428042880 is about 20689.1971811378. The cubic root of 428042880 is about 753.6373708596.

The spelling of 428042880 in words is "four hundred twenty-eight million, forty-two thousand, eight hundred eighty".