428600006824 has 64 divisors (see below), whose sum is σ = 931960209600. Its totient is φ = 182737152000.

The previous prime is 428600006663. The next prime is 428600006827.

428600006824 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (428600006827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1100137 + ... + 1437880.

It is an arithmetic number, because the mean of its divisors is an integer number (14561878275).

Almost surely, 2^428600006824 is an apocalyptic number.

428600006824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

428600006824 is an abundant number, since it is smaller than the sum of its proper divisors (503360202776).

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

428600006824 is a wasteful number, since it uses less digits than its factorization.

428600006824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538154 (or 2538150 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

It can be divided in two parts, 42860000 and 6824, that added together give a palindrome (42866824).

The spelling of 428600006824 in words is "four hundred twenty-eight billion, six hundred million, six thousand, eight hundred twenty-four".