428582380800 has 972 divisors, whose sum is σ = 1692667370688. Its totient is φ = 95219712000.

The previous prime is 428582380789. The next prime is 428582380817. The reversal of 428582380800 is 8083285824.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 428582380800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1581484665 + ... + 1581484935.

Almost surely, 2^428582380800 is an apocalyptic number.

428582380800 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 428582380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846333685344).

428582380800 is an abundant number, since it is smaller than the sum of its proper divisors (1264084989888).

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

428582380800 is a wasteful number, since it uses less digits than its factorization.

428582380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 428582380800 in words is "four hundred twenty-eight billion, five hundred eighty-two million, three hundred eighty thousand, eight hundred".