428498395680768 has 832 divisors, whose sum is σ = 1379071799132160. Its totient is φ = 115744702464000.

The previous prime is 428498395680763. The next prime is 428498395680851. The reversal of 428498395680768 is 867086593894824.

It is a super-2 number, since 2×428498395680768² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428498395680763) 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, 75320509668 + ... + 75320515356.

Almost surely, 2^{428498395680768} is an apocalyptic number.

428498395680768 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 428498395680768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689535899566080).

428498395680768 is an abundant number, since it is smaller than the sum of its proper divisors (950573403451392).

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

428498395680768 is a wasteful number, since it uses less digits than its factorization.

428498395680768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6402 (or 6380 counting only the distinct ones).

The product of its (nonzero) digits is 40131624960, while the sum is 87.

The spelling of 428498395680768 in words is "four hundred twenty-eight trillion, four hundred ninety-eight billion, three hundred ninety-five million, six hundred eighty thousand, seven hundred sixty-eight".