428826628824 has 32 divisors (see below), whose sum is σ = 1169527170240. Its totient is φ = 129947463200.

The previous prime is 428826628823. The next prime is 428826628871.

It is a happy number.

428826628824 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428826628823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 812171382 + ... + 812171909.

It is an arithmetic number, because the mean of its divisors is an integer number (36547724070).

Almost surely, 2^428826628824 is an apocalyptic number.

428826628824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

428826628824 is an abundant number, since it is smaller than the sum of its proper divisors (740700541416).

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

428826628824 is a wasteful number, since it uses less digits than its factorization.

428826628824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624343311 (or 1624343307 counting only the distinct ones).

The product of its digits is 37748736, while the sum is 60.

The spelling of 428826628824 in words is "four hundred twenty-eight billion, eight hundred twenty-six million, six hundred twenty-eight thousand, eight hundred twenty-four".