428589985824 has 576 divisors, whose sum is σ = 1643231536128. Its totient is φ = 102332160000.

The previous prime is 428589985823. The next prime is 428589985903.

428589985824 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (428589985823) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72357327 + ... + 72363249.

It is an arithmetic number, because the mean of its divisors is an integer number (2852832528).

Almost surely, 2^428589985824 is an apocalyptic number.

428589985824 is a gapful number since it is divisible by the number (44) 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 428589985824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821615768064).

428589985824 is an abundant number, since it is smaller than the sum of its proper divisors (1214641550304).

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

428589985824 is a wasteful number, since it uses less digits than its factorization.

428589985824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6221 (or 6210 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 72.

The spelling of 428589985824 in words is "four hundred twenty-eight billion, five hundred eighty-nine million, nine hundred eighty-five thousand, eight hundred twenty-four".