428798241220404 has 288 divisors, whose sum is σ = 1115643461546880. Its totient is φ = 128078326661120.

The previous prime is 428798241220403. The next prime is 428798241220457. The reversal of 428798241220404 is 404022142897824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428798241220403) 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, 16206126127 + ... + 16206152585.

It is an arithmetic number, because the mean of its divisors is an integer number (3873762019260).

Almost surely, 2^{428798241220404} is an apocalyptic number.

428798241220404 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 428798241220404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557821730773440).

428798241220404 is an abundant number, since it is smaller than the sum of its proper divisors (686845220326476).

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

428798241220404 is a wasteful number, since it uses less digits than its factorization.

428798241220404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27199 (or 27186 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 57.

The spelling of 428798241220404 in words is "four hundred twenty-eight trillion, seven hundred ninety-eight billion, two hundred forty-one million, two hundred twenty thousand, four hundred four".