428700204768 has 384 divisors, whose sum is σ = 1373319360000. Its totient is φ = 115805675520.

The previous prime is 428700204761. The next prime is 428700204859. The reversal of 428700204768 is 867402007824.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428700204761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98572258 + ... + 98576606.

It is an arithmetic number, because the mean of its divisors is an integer number (3576352500).

Almost surely, 2^428700204768 is an apocalyptic number.

428700204768 is a gapful number since it is divisible by the number (48) 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 428700204768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686659680000).

428700204768 is an abundant number, since it is smaller than the sum of its proper divisors (944619155232).

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

428700204768 is a wasteful number, since it uses less digits than its factorization.

428700204768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4443 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The spelling of 428700204768 in words is "four hundred twenty-eight billion, seven hundred million, two hundred four thousand, seven hundred sixty-eight".